8(x+10)+3=-5(x-4)-11

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Solution for 8(x+10)+3=-5(x-4)-11 equation:


Simplifying
8(x + 10) + 3 = -5(x + -4) + -11

Reorder the terms:
8(10 + x) + 3 = -5(x + -4) + -11
(10 * 8 + x * 8) + 3 = -5(x + -4) + -11
(80 + 8x) + 3 = -5(x + -4) + -11

Reorder the terms:
80 + 3 + 8x = -5(x + -4) + -11

Combine like terms: 80 + 3 = 83
83 + 8x = -5(x + -4) + -11

Reorder the terms:
83 + 8x = -5(-4 + x) + -11
83 + 8x = (-4 * -5 + x * -5) + -11
83 + 8x = (20 + -5x) + -11

Reorder the terms:
83 + 8x = 20 + -11 + -5x

Combine like terms: 20 + -11 = 9
83 + 8x = 9 + -5x

Solving
83 + 8x = 9 + -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.
83 + 8x + 5x = 9 + -5x + 5x

Combine like terms: 8x + 5x = 13x
83 + 13x = 9 + -5x + 5x

Combine like terms: -5x + 5x = 0
83 + 13x = 9 + 0
83 + 13x = 9

Add '-83' to each side of the equation.
83 + -83 + 13x = 9 + -83

Combine like terms: 83 + -83 = 0
0 + 13x = 9 + -83
13x = 9 + -83

Combine like terms: 9 + -83 = -74
13x = -74

Divide each side by '13'.
x = -5.692307692

Simplifying
x = -5.692307692

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