x+8-2(x+1)=3x-6

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Solution for x+8-2(x+1)=3x-6 equation:


Simplifying
x + 8 + -2(x + 1) = 3x + -6

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

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

Combine like terms: 8 + -2 = 6
6 + x + -2x = 3x + -6

Combine like terms: x + -2x = -1x
6 + -1x = 3x + -6

Reorder the terms:
6 + -1x = -6 + 3x

Solving
6 + -1x = -6 + 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.
6 + -1x + -3x = -6 + 3x + -3x

Combine like terms: -1x + -3x = -4x
6 + -4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -4x = -6 + 0
6 + -4x = -6

Add '-6' to each side of the equation.
6 + -6 + -4x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -6 + -6
-4x = -6 + -6

Combine like terms: -6 + -6 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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