Solve the following linear equation for x . Then check your answer. Show all your steps for solving and checking. 5x+8+x=32
To solve the equation 5x + 8 + x = 32, we first combine like terms:
6x + 8 = 32
Next, we isolate the variable by subtracting 8 from both sides:
6x = 32 - 8
6x = 24
To solve for x, we divide both sides by 6:
x = 24/6
x = 4
To check our answer, substitute x = 4 back into the original equation:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Therefore, x = 4 is the correct solution.
To solve the linear equation 5x + 8 + x = 32, follow these steps:
Step 1: Combine like terms on the left side of the equation:
5x + x + 8 = 32
6x + 8 = 32
Step 2: Move the constant term to the right side by subtracting 8 from both sides:
6x + 8 - 8 = 32 - 8
6x = 24
Step 3: Divide both sides of the equation by the coefficient of x (6) to isolate x:
(6x)/6 = 24/6
x = 4
To check the solution, substitute x = 4 back into the original equation and verify if it is true:
5x + 8 + x = 32
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Since both sides of the equation are equal when x = 4, we can conclude that the solution is correct.
To solve the linear equation 5x + 8 + x = 32, we need to combine like terms on the left side of the equation and then isolate the variable x.
Step 1: Combine like terms
5x + x + 8 = 32
6x + 8 = 32
Step 2: Move the constant term to the right side of the equation
6x = 32 - 8
6x = 24
Step 3: Solve for x by dividing both sides of the equation by the coefficient of x (6).
6x/6 = 24/6
x = 4
So, the solution to the equation is x = 4.
To check the answer, substitute the value of x back into the original equation and verify if both sides are equal.
Original equation: 5x + 8 + x = 32
Substitute x = 4:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Both sides of the equation are equal, confirming that x = 4 is the correct solution.