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

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


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

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

Reorder the terms:
-2 + 5 + 2x + 5x = 6x + -6

Combine like terms: -2 + 5 = 3
3 + 2x + 5x = 6x + -6

Combine like terms: 2x + 5x = 7x
3 + 7x = 6x + -6

Reorder the terms:
3 + 7x = -6 + 6x

Solving
3 + 7x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + 7x + -6x = -6 + 6x + -6x

Combine like terms: 7x + -6x = 1x
3 + 1x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + 1x = -6 + 0
3 + 1x = -6

Add '-3' to each side of the equation.
3 + -3 + 1x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = -6 + -3
1x = -6 + -3

Combine like terms: -6 + -3 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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