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

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


Simplifying
-3x + 9(x + -4) = 22 + -1x

Reorder the terms:
-3x + 9(-4 + x) = 22 + -1x
-3x + (-4 * 9 + x * 9) = 22 + -1x
-3x + (-36 + 9x) = 22 + -1x

Reorder the terms:
-36 + -3x + 9x = 22 + -1x

Combine like terms: -3x + 9x = 6x
-36 + 6x = 22 + -1x

Solving
-36 + 6x = 22 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-36 + 6x + x = 22 + -1x + x

Combine like terms: 6x + x = 7x
-36 + 7x = 22 + -1x + x

Combine like terms: -1x + x = 0
-36 + 7x = 22 + 0
-36 + 7x = 22

Add '36' to each side of the equation.
-36 + 36 + 7x = 22 + 36

Combine like terms: -36 + 36 = 0
0 + 7x = 22 + 36
7x = 22 + 36

Combine like terms: 22 + 36 = 58
7x = 58

Divide each side by '7'.
x = 8.285714286

Simplifying
x = 8.285714286

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