Answer: x = -9
Explanation:
Simplifying
4(2x + -6) = 10x + -6
Reorder the terms:
4(-6 + 2x) = 10x + -6
(-6 * 4 + 2x * 4) = 10x + -6
(-24 + 8x) = 10x + -6
Reorder the terms:
-24 + 8x = -6 + 10x
Solve
-24 + 8x = -6 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
-24 + 8x + -10x = -6 + 10x + -10x
Combine like terms: 8x + -10x = -2x
-24 + -2x = -6 + 10x + -10x
Combine like terms: 10x + -10x = 0
-24 + -2x = -6 + 0
-24 + -2x = -6
Add '24' to each side of the equation.
-24 + 24 + -2x = -6 + 24
Combine like terms: -24 + 24 = 0
0 + -2x = -6 + 24
-2x = -6 + 24
Combine like terms: -6 + 24 = 18
-2x = 18
Divide each side by '-2'.
x = -9
Simplifying
x = -9
Answer: x = -9