36-7x=-3(x-4)+4x

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Solution for 36-7x=-3(x-4)+4x equation:


Simplifying
36 + -7x = -3(x + -4) + 4x

Reorder the terms:
36 + -7x = -3(-4 + x) + 4x
36 + -7x = (-4 * -3 + x * -3) + 4x
36 + -7x = (12 + -3x) + 4x

Combine like terms: -3x + 4x = 1x
36 + -7x = 12 + 1x

Solving
36 + -7x = 12 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
36 + -7x + -1x = 12 + 1x + -1x

Combine like terms: -7x + -1x = -8x
36 + -8x = 12 + 1x + -1x

Combine like terms: 1x + -1x = 0
36 + -8x = 12 + 0
36 + -8x = 12

Add '-36' to each side of the equation.
36 + -36 + -8x = 12 + -36

Combine like terms: 36 + -36 = 0
0 + -8x = 12 + -36
-8x = 12 + -36

Combine like terms: 12 + -36 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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