8(x-5)=13x+40

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Solution for 8(x-5)=13x+40 equation:


Simplifying
8(x + -5) = 13x + 40

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

Reorder the terms:
-40 + 8x = 40 + 13x

Solving
-40 + 8x = 40 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-40 + 8x + -13x = 40 + 13x + -13x

Combine like terms: 8x + -13x = -5x
-40 + -5x = 40 + 13x + -13x

Combine like terms: 13x + -13x = 0
-40 + -5x = 40 + 0
-40 + -5x = 40

Add '40' to each side of the equation.
-40 + 40 + -5x = 40 + 40

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

Combine like terms: 40 + 40 = 80
-5x = 80

Divide each side by '-5'.
x = -16

Simplifying
x = -16

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