2x-2+7(x+1)=2x-4

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Solution for 2x-2+7(x+1)=2x-4 equation:


Simplifying
2x + -2 + 7(x + 1) = 2x + -4

Reorder the terms:
2x + -2 + 7(1 + x) = 2x + -4
2x + -2 + (1 * 7 + x * 7) = 2x + -4
2x + -2 + (7 + 7x) = 2x + -4

Reorder the terms:
-2 + 7 + 2x + 7x = 2x + -4

Combine like terms: -2 + 7 = 5
5 + 2x + 7x = 2x + -4

Combine like terms: 2x + 7x = 9x
5 + 9x = 2x + -4

Reorder the terms:
5 + 9x = -4 + 2x

Solving
5 + 9x = -4 + 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.
5 + 9x + -2x = -4 + 2x + -2x

Combine like terms: 9x + -2x = 7x
5 + 7x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 7x = -4 + 0
5 + 7x = -4

Add '-5' to each side of the equation.
5 + -5 + 7x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = -4 + -5
7x = -4 + -5

Combine like terms: -4 + -5 = -9
7x = -9

Divide each side by '7'.
x = -1.285714286

Simplifying
x = -1.285714286

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