2(-2x+4)+6=5-3(x+1)

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Solution for 2(-2x+4)+6=5-3(x+1) equation: 


Simplifying
2(-2x + 4) + 6 = 5 + -3(x + 1)

Reorder the terms:
2(4 + -2x) + 6 = 5 + -3(x + 1)
(4 * 2 + -2x * 2) + 6 = 5 + -3(x + 1)
(8 + -4x) + 6 = 5 + -3(x + 1)

Reorder the terms:
8 + 6 + -4x = 5 + -3(x + 1)

Combine like terms: 8 + 6 = 14
14 + -4x = 5 + -3(x + 1)

Reorder the terms:
14 + -4x = 5 + -3(1 + x)
14 + -4x = 5 + (1 * -3 + x * -3)
14 + -4x = 5 + (-3 + -3x)

Combine like terms: 5 + -3 = 2
14 + -4x = 2 + -3x

Solving
14 + -4x = 2 + -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.
14 + -4x + 3x = 2 + -3x + 3x

Combine like terms: -4x + 3x = -1x
14 + -1x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
14 + -1x = 2 + 0
14 + -1x = 2

Add '-14' to each side of the equation.
14 + -14 + -1x = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 2 + -14
-1x = 2 + -14

Combine like terms: 2 + -14 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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