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

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


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

Reorder the terms:
7(8 + x) + 3 = -7(x + -3) + -5
(8 * 7 + x * 7) + 3 = -7(x + -3) + -5
(56 + 7x) + 3 = -7(x + -3) + -5

Reorder the terms:
56 + 3 + 7x = -7(x + -3) + -5

Combine like terms: 56 + 3 = 59
59 + 7x = -7(x + -3) + -5

Reorder the terms:
59 + 7x = -7(-3 + x) + -5
59 + 7x = (-3 * -7 + x * -7) + -5
59 + 7x = (21 + -7x) + -5

Reorder the terms:
59 + 7x = 21 + -5 + -7x

Combine like terms: 21 + -5 = 16
59 + 7x = 16 + -7x

Solving
59 + 7x = 16 + -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.
59 + 7x + 7x = 16 + -7x + 7x

Combine like terms: 7x + 7x = 14x
59 + 14x = 16 + -7x + 7x

Combine like terms: -7x + 7x = 0
59 + 14x = 16 + 0
59 + 14x = 16

Add '-59' to each side of the equation.
59 + -59 + 14x = 16 + -59

Combine like terms: 59 + -59 = 0
0 + 14x = 16 + -59
14x = 16 + -59

Combine like terms: 16 + -59 = -43
14x = -43

Divide each side by '14'.
x = -3.071428571

Simplifying
x = -3.071428571

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