7(5x+7)-6(x+3)=-7x+5x

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Solution for 7(5x+7)-6(x+3)=-7x+5x equation: 


Simplifying
7(5x + 7) + -6(x + 3) = -7x + 5x

Reorder the terms:
7(7 + 5x) + -6(x + 3) = -7x + 5x
(7 * 7 + 5x * 7) + -6(x + 3) = -7x + 5x
(49 + 35x) + -6(x + 3) = -7x + 5x

Reorder the terms:
49 + 35x + -6(3 + x) = -7x + 5x
49 + 35x + (3 * -6 + x * -6) = -7x + 5x
49 + 35x + (-18 + -6x) = -7x + 5x

Reorder the terms:
49 + -18 + 35x + -6x = -7x + 5x

Combine like terms: 49 + -18 = 31
31 + 35x + -6x = -7x + 5x

Combine like terms: 35x + -6x = 29x
31 + 29x = -7x + 5x

Combine like terms: -7x + 5x = -2x
31 + 29x = -2x

Solving
31 + 29x = -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.
31 + 29x + 2x = -2x + 2x

Combine like terms: 29x + 2x = 31x
31 + 31x = -2x + 2x

Combine like terms: -2x + 2x = 0
31 + 31x = 0

Add '-31' to each side of the equation.
31 + -31 + 31x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 31x = 0 + -31
31x = 0 + -31

Combine like terms: 0 + -31 = -31
31x = -31

Divide each side by '31'.
x = -1

Simplifying
x = -1

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