3x+10=5x-22

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


Simplifying
3x + 10 = 5x + -22

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

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

Solving
10 + 3x = -22 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 3x + -5x = -22 + 5x + -5x

Combine like terms: 3x + -5x = -2x
10 + -2x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -2x = -22 + 0
10 + -2x = -22

Add '-10' to each side of the equation.
10 + -10 + -2x = -22 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -22 + -10
-2x = -22 + -10

Combine like terms: -22 + -10 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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