10-3x=2x-8+40

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Solution for 10-3x=2x-8+40 equation:


Simplifying
10 + -3x = 2x + -8 + 40

Reorder the terms:
10 + -3x = -8 + 40 + 2x

Combine like terms: -8 + 40 = 32
10 + -3x = 32 + 2x

Solving
10 + -3x = 32 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + -3x + -2x = 32 + 2x + -2x

Combine like terms: -3x + -2x = -5x
10 + -5x = 32 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -5x = 32 + 0
10 + -5x = 32

Add '-10' to each side of the equation.
10 + -10 + -5x = 32 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 32 + -10
-5x = 32 + -10

Combine like terms: 32 + -10 = 22
-5x = 22

Divide each side by '-5'.
x = -4.4

Simplifying
x = -4.4

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