10x+20=7x-8

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Solution for 10x+20=7x-8 equation:


Simplifying
10x + 20 = 7x + -8

Reorder the terms:
20 + 10x = 7x + -8

Reorder the terms:
20 + 10x = -8 + 7x

Solving
20 + 10x = -8 + 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 + 10x + -7x = -8 + 7x + -7x

Combine like terms: 10x + -7x = 3x
20 + 3x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + 3x = -8 + 0
20 + 3x = -8

Add '-20' to each side of the equation.
20 + -20 + 3x = -8 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = -8 + -20
3x = -8 + -20

Combine like terms: -8 + -20 = -28
3x = -28

Divide each side by '3'.
x = -9.333333333

Simplifying
x = -9.333333333

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