7x-22=2(x+9)

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


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

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

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

Solving
-22 + 7x = 18 + 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.
-22 + 7x + -2x = 18 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-22 + 5x = 18 + 0
-22 + 5x = 18

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

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

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

Divide each side by '5'.
x = 8

Simplifying
x = 8

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