2x+40=7x-20

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Solution for 2x+40=7x-20 equation:


Simplifying
2x + 40 = 7x + -20

Reorder the terms:
40 + 2x = 7x + -20

Reorder the terms:
40 + 2x = -20 + 7x

Solving
40 + 2x = -20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
40 + 2x + -7x = -20 + 7x + -7x

Combine like terms: 2x + -7x = -5x
40 + -5x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
40 + -5x = -20 + 0
40 + -5x = -20

Add '-40' to each side of the equation.
40 + -40 + -5x = -20 + -40

Combine like terms: 40 + -40 = 0
0 + -5x = -20 + -40
-5x = -20 + -40

Combine like terms: -20 + -40 = -60
-5x = -60

Divide each side by '-5'.
x = 12

Simplifying
x = 12

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