-3(x-2)-2=4(x+3)+27

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Solution for -3(x-2)-2=4(x+3)+27 equation:


Simplifying
-3(x + -2) + -2 = 4(x + 3) + 27

Reorder the terms:
-3(-2 + x) + -2 = 4(x + 3) + 27
(-2 * -3 + x * -3) + -2 = 4(x + 3) + 27
(6 + -3x) + -2 = 4(x + 3) + 27

Reorder the terms:
6 + -2 + -3x = 4(x + 3) + 27

Combine like terms: 6 + -2 = 4
4 + -3x = 4(x + 3) + 27

Reorder the terms:
4 + -3x = 4(3 + x) + 27
4 + -3x = (3 * 4 + x * 4) + 27
4 + -3x = (12 + 4x) + 27

Reorder the terms:
4 + -3x = 12 + 27 + 4x

Combine like terms: 12 + 27 = 39
4 + -3x = 39 + 4x

Solving
4 + -3x = 39 + 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.
4 + -3x + -4x = 39 + 4x + -4x

Combine like terms: -3x + -4x = -7x
4 + -7x = 39 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -7x = 39 + 0
4 + -7x = 39

Add '-4' to each side of the equation.
4 + -4 + -7x = 39 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 39 + -4
-7x = 39 + -4

Combine like terms: 39 + -4 = 35
-7x = 35

Divide each side by '-7'.
x = -5

Simplifying
x = -5

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