4x+10=8x-40

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Solution for 4x+10=8x-40 equation: 


Simplifying
4x + 10 = 8x + -40

Reorder the terms:
10 + 4x = 8x + -40

Reorder the terms:
10 + 4x = -40 + 8x

Solving
10 + 4x = -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 + 4x + -8x = -40 + 8x + -8x

Combine like terms: 4x + -8x = -4x
10 + -4x = -40 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -4x = -40 + 0
10 + -4x = -40

Add '-10' to each side of the equation.
10 + -10 + -4x = -40 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -40 + -10
-4x = -40 + -10

Combine like terms: -40 + -10 = -50
-4x = -50

Divide each side by '-4'.
x = 12.5

Simplifying
x = 12.5

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