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

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


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

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

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

Combine like terms: -8 + 6 = -2
-2 + 2x = 3(1 + x) + -2
-2 + 2x = (1 * 3 + x * 3) + -2
-2 + 2x = (3 + 3x) + -2

Reorder the terms:
-2 + 2x = 3 + -2 + 3x

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

Solving
-2 + 2x = 1 + 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.
-2 + 2x + -3x = 1 + 3x + -3x

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

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

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

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

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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