4(x+3)-12=-3(x-7)+35

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Solution for 4(x+3)-12=-3(x-7)+35 equation: 


Simplifying
4(x + 3) + -12 = -3(x + -7) + 35

Reorder the terms:
4(3 + x) + -12 = -3(x + -7) + 35
(3 * 4 + x * 4) + -12 = -3(x + -7) + 35
(12 + 4x) + -12 = -3(x + -7) + 35

Reorder the terms:
12 + -12 + 4x = -3(x + -7) + 35

Combine like terms: 12 + -12 = 0
0 + 4x = -3(x + -7) + 35
4x = -3(x + -7) + 35

Reorder the terms:
4x = -3(-7 + x) + 35
4x = (-7 * -3 + x * -3) + 35
4x = (21 + -3x) + 35

Reorder the terms:
4x = 21 + 35 + -3x

Combine like terms: 21 + 35 = 56
4x = 56 + -3x

Solving
4x = 56 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4x + 3x = 56 + -3x + 3x

Combine like terms: 4x + 3x = 7x
7x = 56 + -3x + 3x

Combine like terms: -3x + 3x = 0
7x = 56 + 0
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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