Answer:
Explanation:
Simplifying
6(2x + -6) = -7(-2x + 4)
Reorder the terms:
6(-6 + 2x) = -7(-2x + 4)
(-6 * 6 + 2x * 6) = -7(-2x + 4)
(-36 + 12x) = -7(-2x + 4)
Reorder the terms:
-36 + 12x = -7(4 + -2x)
-36 + 12x = (4 * -7 + -2x * -7)
-36 + 12x = (-28 + 14x)
Solving
-36 + 12x = -28 + 14x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14x' to each side of the equation.
-36 + 12x + -14x = -28 + 14x + -14x
Combine like terms: 12x + -14x = -2x
-36 + -2x = -28 + 14x + -14x
Combine like terms: 14x + -14x = 0
-36 + -2x = -28 + 0
-36 + -2x = -28
Add '36' to each side of the equation.
-36 + 36 + -2x = -28 + 36
Combine like terms: -36 + 36 = 0
0 + -2x = -28 + 36
-2x = -28 + 36
Combine like terms: -28 + 36 = 8
-2x = 8
Divide each side by '-2'.
x = -4
Simplifying
x = -4