-5x-10=8x-40

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Solution for -5x-10=8x-40 equation:


Simplifying
-5x + -10 = 8x + -40

Reorder the terms:
-10 + -5x = 8x + -40

Reorder the terms:
-10 + -5x = -40 + 8x

Solving
-10 + -5x = -40 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + -5x + -8x = -40 + 8x + -8x

Combine like terms: -5x + -8x = -13x
-10 + -13x = -40 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -13x = -40 + 0
-10 + -13x = -40

Add '10' to each side of the equation.
-10 + 10 + -13x = -40 + 10

Combine like terms: -10 + 10 = 0
0 + -13x = -40 + 10
-13x = -40 + 10

Combine like terms: -40 + 10 = -30
-13x = -30

Divide each side by '-13'.
x = 2.307692308

Simplifying
x = 2.307692308

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