5x-10=-3x+22

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Solution for 5x-10=-3x+22 equation:


Simplifying
5x + -10 = -3x + 22

Reorder the terms:
-10 + 5x = -3x + 22

Reorder the terms:
-10 + 5x = 22 + -3x

Solving
-10 + 5x = 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 + 5x + 3x = 22 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-10 + 8x = 22 + -3x + 3x

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

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

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

Combine like terms: 22 + 10 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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