22+3x=2(7-2x)+8x

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Solution for 22+3x=2(7-2x)+8x equation:


Simplifying
22 + 3x = 2(7 + -2x) + 8x
22 + 3x = (7 * 2 + -2x * 2) + 8x
22 + 3x = (14 + -4x) + 8x

Combine like terms: -4x + 8x = 4x
22 + 3x = 14 + 4x

Solving
22 + 3x = 14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
22 + 3x + -4x = 14 + 4x + -4x

Combine like terms: 3x + -4x = -1x
22 + -1x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + -1x = 14 + 0
22 + -1x = 14

Add '-22' to each side of the equation.
22 + -22 + -1x = 14 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 14 + -22
-1x = 14 + -22

Combine like terms: 14 + -22 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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