2x+40=5x-2

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Solution for 2x+40=5x-2 equation:


Simplifying
2x + 40 = 5x + -2

Reorder the terms:
40 + 2x = 5x + -2

Reorder the terms:
40 + 2x = -2 + 5x

Solving
40 + 2x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
40 + 2x + -5x = -2 + 5x + -5x

Combine like terms: 2x + -5x = -3x
40 + -3x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
40 + -3x = -2 + 0
40 + -3x = -2

Add '-40' to each side of the equation.
40 + -40 + -3x = -2 + -40

Combine like terms: 40 + -40 = 0
0 + -3x = -2 + -40
-3x = -2 + -40

Combine like terms: -2 + -40 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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