2(8+3x)-7+5x=-(7x-2)

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Solution for 2(8+3x)-7+5x=-(7x-2) equation:


Simplifying
2(8 + 3x) + -7 + 5x = -1(7x + -2)
(8 * 2 + 3x * 2) + -7 + 5x = -1(7x + -2)
(16 + 6x) + -7 + 5x = -1(7x + -2)

Reorder the terms:
16 + -7 + 6x + 5x = -1(7x + -2)

Combine like terms: 16 + -7 = 9
9 + 6x + 5x = -1(7x + -2)

Combine like terms: 6x + 5x = 11x
9 + 11x = -1(7x + -2)

Reorder the terms:
9 + 11x = -1(-2 + 7x)
9 + 11x = (-2 * -1 + 7x * -1)
9 + 11x = (2 + -7x)

Solving
9 + 11x = 2 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
9 + 11x + 7x = 2 + -7x + 7x

Combine like terms: 11x + 7x = 18x
9 + 18x = 2 + -7x + 7x

Combine like terms: -7x + 7x = 0
9 + 18x = 2 + 0
9 + 18x = 2

Add '-9' to each side of the equation.
9 + -9 + 18x = 2 + -9

Combine like terms: 9 + -9 = 0
0 + 18x = 2 + -9
18x = 2 + -9

Combine like terms: 2 + -9 = -7
18x = -7

Divide each side by '18'.
x = -0.3888888889

Simplifying
x = -0.3888888889

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