-4(x-4)=6x+36

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Solution for -4(x-4)=6x+36 equation:


Simplifying
-4(x + -4) = 6x + 36

Reorder the terms:
-4(-4 + x) = 6x + 36
(-4 * -4 + x * -4) = 6x + 36
(16 + -4x) = 6x + 36

Reorder the terms:
16 + -4x = 36 + 6x

Solving
16 + -4x = 36 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16 + -4x + -6x = 36 + 6x + -6x

Combine like terms: -4x + -6x = -10x
16 + -10x = 36 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -10x = 36 + 0
16 + -10x = 36

Add '-16' to each side of the equation.
16 + -16 + -10x = 36 + -16

Combine like terms: 16 + -16 = 0
0 + -10x = 36 + -16
-10x = 36 + -16

Combine like terms: 36 + -16 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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