7(x+8)+4=-4(x-11)-5

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Solution for 7(x+8)+4=-4(x-11)-5 equation:


Simplifying
7(x + 8) + 4 = -4(x + -11) + -5

Reorder the terms:
7(8 + x) + 4 = -4(x + -11) + -5
(8 * 7 + x * 7) + 4 = -4(x + -11) + -5
(56 + 7x) + 4 = -4(x + -11) + -5

Reorder the terms:
56 + 4 + 7x = -4(x + -11) + -5

Combine like terms: 56 + 4 = 60
60 + 7x = -4(x + -11) + -5

Reorder the terms:
60 + 7x = -4(-11 + x) + -5
60 + 7x = (-11 * -4 + x * -4) + -5
60 + 7x = (44 + -4x) + -5

Reorder the terms:
60 + 7x = 44 + -5 + -4x

Combine like terms: 44 + -5 = 39
60 + 7x = 39 + -4x

Solving
60 + 7x = 39 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
60 + 7x + 4x = 39 + -4x + 4x

Combine like terms: 7x + 4x = 11x
60 + 11x = 39 + -4x + 4x

Combine like terms: -4x + 4x = 0
60 + 11x = 39 + 0
60 + 11x = 39

Add '-60' to each side of the equation.
60 + -60 + 11x = 39 + -60

Combine like terms: 60 + -60 = 0
0 + 11x = 39 + -60
11x = 39 + -60

Combine like terms: 39 + -60 = -21
11x = -21

Divide each side by '11'.
x = -1.909090909

Simplifying
x = -1.909090909

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