7(x+2)=9x-14

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Solution for 7(x+2)=9x-14 equation:


Simplifying
7(x + 2) = 9x + -14

Reorder the terms:
7(2 + x) = 9x + -14
(2 * 7 + x * 7) = 9x + -14
(14 + 7x) = 9x + -14

Reorder the terms:
14 + 7x = -14 + 9x

Solving
14 + 7x = -14 + 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.
14 + 7x + -9x = -14 + 9x + -9x

Combine like terms: 7x + -9x = -2x
14 + -2x = -14 + 9x + -9x

Combine like terms: 9x + -9x = 0
14 + -2x = -14 + 0
14 + -2x = -14

Add '-14' to each side of the equation.
14 + -14 + -2x = -14 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -14 + -14
-2x = -14 + -14

Combine like terms: -14 + -14 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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