4x+22=3x+10+2x+6

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Solution for 4x+22=3x+10+2x+6 equation:


Simplifying
4x + 22 = 3x + 10 + 2x + 6

Reorder the terms:
22 + 4x = 3x + 10 + 2x + 6

Reorder the terms:
22 + 4x = 10 + 6 + 3x + 2x

Combine like terms: 10 + 6 = 16
22 + 4x = 16 + 3x + 2x

Combine like terms: 3x + 2x = 5x
22 + 4x = 16 + 5x

Solving
22 + 4x = 16 + 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.
22 + 4x + -5x = 16 + 5x + -5x

Combine like terms: 4x + -5x = -1x
22 + -1x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
22 + -1x = 16 + 0
22 + -1x = 16

Add '-22' to each side of the equation.
22 + -22 + -1x = 16 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 16 + -22
-1x = 16 + -22

Combine like terms: 16 + -22 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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