7(x+2)=5x-6

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Solution for 7(x+2)=5x-6 equation:


Simplifying
7(x + 2) = 5x + -6

Reorder the terms:
7(2 + x) = 5x + -6
(2 * 7 + x * 7) = 5x + -6
(14 + 7x) = 5x + -6

Reorder the terms:
14 + 7x = -6 + 5x

Solving
14 + 7x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + 7x + -5x = -6 + 5x + -5x

Combine like terms: 7x + -5x = 2x
14 + 2x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + 2x = -6 + 0
14 + 2x = -6

Add '-14' to each side of the equation.
14 + -14 + 2x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = -6 + -14
2x = -6 + -14

Combine like terms: -6 + -14 = -20
2x = -20

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

Simplifying
x = -10

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