4-3(x-9)=22-2x

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Solution for 4-3(x-9)=22-2x equation:


Simplifying
4 + -3(x + -9) = 22 + -2x

Reorder the terms:
4 + -3(-9 + x) = 22 + -2x
4 + (-9 * -3 + x * -3) = 22 + -2x
4 + (27 + -3x) = 22 + -2x

Combine like terms: 4 + 27 = 31
31 + -3x = 22 + -2x

Solving
31 + -3x = 22 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
31 + -3x + 2x = 22 + -2x + 2x

Combine like terms: -3x + 2x = -1x
31 + -1x = 22 + -2x + 2x

Combine like terms: -2x + 2x = 0
31 + -1x = 22 + 0
31 + -1x = 22

Add '-31' to each side of the equation.
31 + -31 + -1x = 22 + -31

Combine like terms: 31 + -31 = 0
0 + -1x = 22 + -31
-1x = 22 + -31

Combine like terms: 22 + -31 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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