2(-3x+9)+2(3+x)-2+4=32

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Solution for 2(-3x+9)+2(3+x)-2+4=32 equation: 


Simplifying
2(-3x + 9) + 2(3 + x) + -2 + 4 = 32

Reorder the terms:
2(9 + -3x) + 2(3 + x) + -2 + 4 = 32
(9 * 2 + -3x * 2) + 2(3 + x) + -2 + 4 = 32
(18 + -6x) + 2(3 + x) + -2 + 4 = 32
18 + -6x + (3 * 2 + x * 2) + -2 + 4 = 32
18 + -6x + (6 + 2x) + -2 + 4 = 32

Reorder the terms:
18 + 6 + -2 + 4 + -6x + 2x = 32

Combine like terms: 18 + 6 = 24
24 + -2 + 4 + -6x + 2x = 32

Combine like terms: 24 + -2 = 22
22 + 4 + -6x + 2x = 32

Combine like terms: 22 + 4 = 26
26 + -6x + 2x = 32

Combine like terms: -6x + 2x = -4x
26 + -4x = 32

Solving
26 + -4x = 32

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -4x = 32 + -26

Combine like terms: 26 + -26 = 0
0 + -4x = 32 + -26
-4x = 32 + -26

Combine like terms: 32 + -26 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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