2x+20=7x-31

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Solution for 2x+20=7x-31 equation:


Simplifying
2x + 20 = 7x + -31

Reorder the terms:
20 + 2x = 7x + -31

Reorder the terms:
20 + 2x = -31 + 7x

Solving
20 + 2x = -31 + 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.
20 + 2x + -7x = -31 + 7x + -7x

Combine like terms: 2x + -7x = -5x
20 + -5x = -31 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -5x = -31 + 0
20 + -5x = -31

Add '-20' to each side of the equation.
20 + -20 + -5x = -31 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -31 + -20
-5x = -31 + -20

Combine like terms: -31 + -20 = -51
-5x = -51

Divide each side by '-5'.
x = 10.2

Simplifying
x = 10.2

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