7x+10=3x-22

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Solution for 7x+10=3x-22 equation:


Simplifying
7x + 10 = 3x + -22

Reorder the terms:
10 + 7x = 3x + -22

Reorder the terms:
10 + 7x = -22 + 3x

Solving
10 + 7x = -22 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 7x + -3x = -22 + 3x + -3x

Combine like terms: 7x + -3x = 4x
10 + 4x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 4x = -22 + 0
10 + 4x = -22

Add '-10' to each side of the equation.
10 + -10 + 4x = -22 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = -22 + -10
4x = -22 + -10

Combine like terms: -22 + -10 = -32
4x = -32

Divide each side by '4'.
x = -8

Simplifying
x = -8

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