7x+8=10x-22

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Solution for 7x+8=10x-22 equation:


Simplifying
7x + 8 = 10x + -22

Reorder the terms:
8 + 7x = 10x + -22

Reorder the terms:
8 + 7x = -22 + 10x

Solving
8 + 7x = -22 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8 + 7x + -10x = -22 + 10x + -10x

Combine like terms: 7x + -10x = -3x
8 + -3x = -22 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -3x = -22 + 0
8 + -3x = -22

Add '-8' to each side of the equation.
8 + -8 + -3x = -22 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -22 + -8
-3x = -22 + -8

Combine like terms: -22 + -8 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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