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

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


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

Reorder the terms:
7(8 + x) + 3 = -2(x + -7) + -8
(8 * 7 + x * 7) + 3 = -2(x + -7) + -8
(56 + 7x) + 3 = -2(x + -7) + -8

Reorder the terms:
56 + 3 + 7x = -2(x + -7) + -8

Combine like terms: 56 + 3 = 59
59 + 7x = -2(x + -7) + -8

Reorder the terms:
59 + 7x = -2(-7 + x) + -8
59 + 7x = (-7 * -2 + x * -2) + -8
59 + 7x = (14 + -2x) + -8

Reorder the terms:
59 + 7x = 14 + -8 + -2x

Combine like terms: 14 + -8 = 6
59 + 7x = 6 + -2x

Solving
59 + 7x = 6 + -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.
59 + 7x + 2x = 6 + -2x + 2x

Combine like terms: 7x + 2x = 9x
59 + 9x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
59 + 9x = 6 + 0
59 + 9x = 6

Add '-59' to each side of the equation.
59 + -59 + 9x = 6 + -59

Combine like terms: 59 + -59 = 0
0 + 9x = 6 + -59
9x = 6 + -59

Combine like terms: 6 + -59 = -53
9x = -53

Divide each side by '9'.
x = -5.888888889

Simplifying
x = -5.888888889

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