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

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


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

Reorder the terms:
7(7 + x) + 3 = -5(X + -7) + -8
(7 * 7 + x * 7) + 3 = -5(X + -7) + -8
(49 + 7x) + 3 = -5(X + -7) + -8

Reorder the terms:
49 + 3 + 7x = -5(X + -7) + -8

Combine like terms: 49 + 3 = 52
52 + 7x = -5(X + -7) + -8

Reorder the terms:
52 + 7x = -5(-7 + X) + -8
52 + 7x = (-7 * -5 + X * -5) + -8
52 + 7x = (35 + -5X) + -8

Reorder the terms:
52 + 7x = 35 + -8 + -5X

Combine like terms: 35 + -8 = 27
52 + 7x = 27 + -5X

Solving
52 + 7x = 27 + -5X

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 7x = 27 + -52 + -5X

Combine like terms: 52 + -52 = 0
0 + 7x = 27 + -52 + -5X
7x = 27 + -52 + -5X

Combine like terms: 27 + -52 = -25
7x = -25 + -5X

Divide each side by '7'.
x = -3.571428571 + -0.7142857143X

Simplifying
x = -3.571428571 + -0.7142857143X

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