8(x+5)=5(x-13)

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Solution for 8(x+5)=5(x-13) equation:


Simplifying
8(x + 5) = 5(x + -13)

Reorder the terms:
8(5 + x) = 5(x + -13)
(5 * 8 + x * 8) = 5(x + -13)
(40 + 8x) = 5(x + -13)

Reorder the terms:
40 + 8x = 5(-13 + x)
40 + 8x = (-13 * 5 + x * 5)
40 + 8x = (-65 + 5x)

Solving
40 + 8x = -65 + 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.
40 + 8x + -5x = -65 + 5x + -5x

Combine like terms: 8x + -5x = 3x
40 + 3x = -65 + 5x + -5x

Combine like terms: 5x + -5x = 0
40 + 3x = -65 + 0
40 + 3x = -65

Add '-40' to each side of the equation.
40 + -40 + 3x = -65 + -40

Combine like terms: 40 + -40 = 0
0 + 3x = -65 + -40
3x = -65 + -40

Combine like terms: -65 + -40 = -105
3x = -105

Divide each side by '3'.
x = -35

Simplifying
x = -35

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