What is the solution of this equation, -5/2x - 1 = 4x +2?
To solve the equation -5/2x - 1 = 4x + 2, we need to isolate the variable x.
First, let's get rid of the fractions by multiplying every term by 2, the least common multiple of the denominators -2 and 4:
2(-5/2x - 1) = 2(4x + 2)
This simplifies to:
-5x - 2 = 8x + 4
Next, let's move the 8x term to the left side of the equation and the -2 term to the right side to isolate the x term:
-5x - 8x = 4 + 2
Combining like terms:
-13x = 6
To solve for x, divide both sides of the equation by -13:
x = 6 / -13
Therefore, the solution to the equation -5/2x - 1 = 4x + 2 is x = -6/13.
To find the solution of the equation: -5/2x - 1 = 4x + 2, we can follow these steps:
Step 1: Simplify both sides of the equation.
Start by adding 5/2x to each side of the equation to isolate the variable term on one side:
-5/2x - 1 + 5/2x = 4x + 2 + 5/2x
Simplifying, we get:
-1 = 11/2x + 2
Step 2: Subtract 2 from each side to isolate the variable term.
-1 - 2 = 11/2x + 2 - 2
Simplifying, we get:
-3 = 11/2x
Step 3: Multiply both sides by the reciprocal of 11/2 (which is 2/11).
-3 * 2/11 = 11/2x * 2/11
Simplifying, we get:
-6/11 = x
Therefore, the solution to the equation -5/2x - 1 = 4x + 2 is x = -6/11.
To find the solution for the equation -5/2x - 1 = 4x + 2, we need to isolate the variable x.
Step 1: Distribute (-5/2) to the terms inside the parentheses:
-5/2x - 1 = 4x + 2
(-5/2)x - 1 = 4x + 2
Step 2: Combine like terms on both sides of the equation:
(-5/2)x - 4x = 2 + 1
(-5/2 - 8/2)x = 3
Step 3: Simplify the coefficients:
(-13/2)x = 3
Step 4: To solve for x, we need to isolate it. Divide both sides of the equation by (-13/2):
[(-13/2)x] / (-13/2) = 3 / (-13/2)
x = -6/13
Therefore, the solution to the equation -5/2x - 1 = 4x + 2 is x = -6/13.