-5x+40=8x-70

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Solution for -5x+40=8x-70 equation:


Simplifying
-5x + 40 = 8x + -70

Reorder the terms:
40 + -5x = 8x + -70

Reorder the terms:
40 + -5x = -70 + 8x

Solving
40 + -5x = -70 + 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.
40 + -5x + -8x = -70 + 8x + -8x

Combine like terms: -5x + -8x = -13x
40 + -13x = -70 + 8x + -8x

Combine like terms: 8x + -8x = 0
40 + -13x = -70 + 0
40 + -13x = -70

Add '-40' to each side of the equation.
40 + -40 + -13x = -70 + -40

Combine like terms: 40 + -40 = 0
0 + -13x = -70 + -40
-13x = -70 + -40

Combine like terms: -70 + -40 = -110
-13x = -110

Divide each side by '-13'.
x = 8.461538462

Simplifying
x = 8.461538462

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