7(x+5)=-5(x+8)-45

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Solution for 7(x+5)=-5(x+8)-45 equation: 


Simplifying
7(x + 5) = -5(x + 8) + -45

Reorder the terms:
7(5 + x) = -5(x + 8) + -45
(5 * 7 + x * 7) = -5(x + 8) + -45
(35 + 7x) = -5(x + 8) + -45

Reorder the terms:
35 + 7x = -5(8 + x) + -45
35 + 7x = (8 * -5 + x * -5) + -45
35 + 7x = (-40 + -5x) + -45

Reorder the terms:
35 + 7x = -40 + -45 + -5x

Combine like terms: -40 + -45 = -85
35 + 7x = -85 + -5x

Solving
35 + 7x = -85 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
35 + 7x + 5x = -85 + -5x + 5x

Combine like terms: 7x + 5x = 12x
35 + 12x = -85 + -5x + 5x

Combine like terms: -5x + 5x = 0
35 + 12x = -85 + 0
35 + 12x = -85

Add '-35' to each side of the equation.
35 + -35 + 12x = -85 + -35

Combine like terms: 35 + -35 = 0
0 + 12x = -85 + -35
12x = -85 + -35

Combine like terms: -85 + -35 = -120
12x = -120

Divide each side by '12'.
x = -10

Simplifying
x = -10

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