7x+2=9(x-2)

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


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

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

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

Solving
2 + 7x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + 7x + -9x = -18 + 9x + -9x

Combine like terms: 7x + -9x = -2x
2 + -2x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -2x = -18 + 0
2 + -2x = -18

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

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

Combine like terms: -18 + -2 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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