3x+8=13x-40

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Solution for 3x+8=13x-40 equation: 


Simplifying
3x + 8 = 13x + -40

Reorder the terms:
8 + 3x = 13x + -40

Reorder the terms:
8 + 3x = -40 + 13x

Solving
8 + 3x = -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.
8 + 3x + -13x = -40 + 13x + -13x

Combine like terms: 3x + -13x = -10x
8 + -10x = -40 + 13x + -13x

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

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

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

Combine like terms: -40 + -8 = -48
-10x = -48

Divide each side by '-10'.
x = 4.8

Simplifying
x = 4.8

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