-12(x+6)=4(x-7)

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Solution for -12(x+6)=4(x-7) equation:


Simplifying
-12(x + 6) = 4(x + -7)

Reorder the terms:
-12(6 + x) = 4(x + -7)
(6 * -12 + x * -12) = 4(x + -7)
(-72 + -12x) = 4(x + -7)

Reorder the terms:
-72 + -12x = 4(-7 + x)
-72 + -12x = (-7 * 4 + x * 4)
-72 + -12x = (-28 + 4x)

Solving
-72 + -12x = -28 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-72 + -12x + -4x = -28 + 4x + -4x

Combine like terms: -12x + -4x = -16x
-72 + -16x = -28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-72 + -16x = -28 + 0
-72 + -16x = -28

Add '72' to each side of the equation.
-72 + 72 + -16x = -28 + 72

Combine like terms: -72 + 72 = 0
0 + -16x = -28 + 72
-16x = -28 + 72

Combine like terms: -28 + 72 = 44
-16x = 44

Divide each side by '-16'.
x = -2.75

Simplifying
x = -2.75

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