Which is a solution to the equation `-2x+10=-30`?
To solve for x in the equation -2x + 10 = -30, we can start by isolating the variable x by moving the constant to the other side of the equation. Add 30 to both sides:
-2x + 10 + 30 = -30 + 30
This simplifies to:
-2x + 40 = 0
Now, to eliminate the coefficient -2, we can divide both sides of the equation by -2:
(-2x + 40) / -2 = 0 / -2
This leads to:
x - 20 = 0
Finally, isolate x by moving the constant to the other side of the equation. Add 20 to both sides:
x - 20 + 20 = 0 + 20
This simplifies to:
x = 20
Therefore, the solution to the equation -2x + 10 = -30 is x = 20.
Solve the equation
-2(6x-5)=4
To solve the equation -2(6x-5) = 4, we first distribute -2 to the terms inside the parentheses:
-12x + 10 = 4
Next, subtract 10 from both sides of the equation to isolate the variable:
-12x = 4 - 10
-12x = -6
Finally, divide both sides of the equation by -12 to solve for x:
x = -6 / -12
x = 1/2
Therefore, the solution to the equation -2(6x-5) = 4 is x = 1/2.
Solve the equation
4(x-5)+x=10
To solve the equation 4(x-5) + x = 10, we begin by distributing the 4 to the terms inside the parentheses:
4x - 20 + x = 10
Combining like terms, we have:
5x - 20 = 10
Next, we isolate the variable by adding 20 to both sides of the equation:
5x - 20 + 20 = 10 + 20
Simplifying further:
5x = 30
Finally, to solve for x, we divide both sides of the equation by 5:
x = 30 / 5
Simplifying the division:
x = 6
Thus, the solution to the equation 4(x-5) + x = 10 is x = 6.
A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee. Which equation could be used to find how many hours of work are included in a $210 bill for a consultation?
Let's denote the number of hours the consultant works on the consultation as "h".
The consultant charges $45 per hour, so the total cost for the hours worked would be 45h.
Additionally, there is a flat consulting fee of $30.
Therefore, the total cost for the consultation can be represented by the equation:
45h + 30 = 210
In this equation, "h" represents the number of hours of work included in the $210 bill for the consultation.
Solve this equation. Be sure to show at least 2 steps
-2x+9-3x=16
To solve the equation -2x + 9 - 3x = 16, we can combine like terms by adding the x terms together and moving the constants to one side of the equation.
First, combine the x terms:
-2x - 3x + 9 = 16
This simplifies to:
-5x + 9 = 16
Next, move the constant 9 to the other side of the equation by subtracting 9 from both sides:
-5x + 9 - 9 = 16 - 9
This simplifies to:
-5x = 7
Finally, to solve for x, divide both sides of the equation by -5:
(-5x) / -5 = 7 / -5
This gives us:
x = -7/5
Therefore, the solution to the equation -2x + 9 - 3x = 16 is x = -7/5.
solve
-x+5+6x=2+5x+3
is it identity or no solution