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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