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

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


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

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

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

Combine like terms: -6 + -3 = -9
-9 + 2x + -3x = 2x + -2

Combine like terms: 2x + -3x = -1x
-9 + -1x = 2x + -2

Reorder the terms:
-9 + -1x = -2 + 2x

Solving
-9 + -1x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + -1x + -2x = -2 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-9 + -3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + -3x = -2 + 0
-9 + -3x = -2

Add '9' to each side of the equation.
-9 + 9 + -3x = -2 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = -2 + 9
-3x = -2 + 9

Combine like terms: -2 + 9 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

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