2x+2+7(x+1)=-5x+6

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Solution for 2x+2+7(x+1)=-5x+6 equation:


Simplifying
2x + 2 + 7(x + 1) = -5x + 6

Reorder the terms:
2x + 2 + 7(1 + x) = -5x + 6
2x + 2 + (1 * 7 + x * 7) = -5x + 6
2x + 2 + (7 + 7x) = -5x + 6

Reorder the terms:
2 + 7 + 2x + 7x = -5x + 6

Combine like terms: 2 + 7 = 9
9 + 2x + 7x = -5x + 6

Combine like terms: 2x + 7x = 9x
9 + 9x = -5x + 6

Reorder the terms:
9 + 9x = 6 + -5x

Solving
9 + 9x = 6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
9 + 9x + 5x = 6 + -5x + 5x

Combine like terms: 9x + 5x = 14x
9 + 14x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
9 + 14x = 6 + 0
9 + 14x = 6

Add '-9' to each side of the equation.
9 + -9 + 14x = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 14x = 6 + -9
14x = 6 + -9

Combine like terms: 6 + -9 = -3
14x = -3

Divide each side by '14'.
x = -0.2142857143

Simplifying
x = -0.2142857143

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