2(x-9)=7x+22

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Solution for 2(x-9)=7x+22 equation:


Simplifying
2(x + -9) = 7x + 22

Reorder the terms:
2(-9 + x) = 7x + 22
(-9 * 2 + x * 2) = 7x + 22
(-18 + 2x) = 7x + 22

Reorder the terms:
-18 + 2x = 22 + 7x

Solving
-18 + 2x = 22 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-18 + 2x + -7x = 22 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-18 + -5x = 22 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + -5x = 22 + 0
-18 + -5x = 22

Add '18' to each side of the equation.
-18 + 18 + -5x = 22 + 18

Combine like terms: -18 + 18 = 0
0 + -5x = 22 + 18
-5x = 22 + 18

Combine like terms: 22 + 18 = 40
-5x = 40

Divide each side by '-5'.
x = -8

Simplifying
x = -8

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