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

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


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

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

Reorder the terms:
40 + 8x + 5(5 + x) = 5x + -5
40 + 8x + (5 * 5 + x * 5) = 5x + -5
40 + 8x + (25 + 5x) = 5x + -5

Reorder the terms:
40 + 25 + 8x + 5x = 5x + -5

Combine like terms: 40 + 25 = 65
65 + 8x + 5x = 5x + -5

Combine like terms: 8x + 5x = 13x
65 + 13x = 5x + -5

Reorder the terms:
65 + 13x = -5 + 5x

Solving
65 + 13x = -5 + 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.
65 + 13x + -5x = -5 + 5x + -5x

Combine like terms: 13x + -5x = 8x
65 + 8x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
65 + 8x = -5 + 0
65 + 8x = -5

Add '-65' to each side of the equation.
65 + -65 + 8x = -5 + -65

Combine like terms: 65 + -65 = 0
0 + 8x = -5 + -65
8x = -5 + -65

Combine like terms: -5 + -65 = -70
8x = -70

Divide each side by '8'.
x = -8.75

Simplifying
x = -8.75

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