8(x+5)+6(x+5)=5x-5

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Solution for 8(x+5)+6(x+5)=5x-5 equation:


Simplifying
8(x + 5) + 6(x + 5) = 5x + -5

Reorder the terms:
8(5 + x) + 6(x + 5) = 5x + -5
(5 * 8 + x * 8) + 6(x + 5) = 5x + -5
(40 + 8x) + 6(x + 5) = 5x + -5

Reorder the terms:
40 + 8x + 6(5 + x) = 5x + -5
40 + 8x + (5 * 6 + x * 6) = 5x + -5
40 + 8x + (30 + 6x) = 5x + -5

Reorder the terms:
40 + 30 + 8x + 6x = 5x + -5

Combine like terms: 40 + 30 = 70
70 + 8x + 6x = 5x + -5

Combine like terms: 8x + 6x = 14x
70 + 14x = 5x + -5

Reorder the terms:
70 + 14x = -5 + 5x

Solving
70 + 14x = -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.
70 + 14x + -5x = -5 + 5x + -5x

Combine like terms: 14x + -5x = 9x
70 + 9x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
70 + 9x = -5 + 0
70 + 9x = -5

Add '-70' to each side of the equation.
70 + -70 + 9x = -5 + -70

Combine like terms: 70 + -70 = 0
0 + 9x = -5 + -70
9x = -5 + -70

Combine like terms: -5 + -70 = -75
9x = -75

Divide each side by '9'.
x = -8.333333333

Simplifying
x = -8.333333333

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