7(x+2)=6x-6+3x

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Solution for 7(x+2)=6x-6+3x equation:


Simplifying
7(x + 2) = 6x + -6 + 3x

Reorder the terms:
7(2 + x) = 6x + -6 + 3x
(2 * 7 + x * 7) = 6x + -6 + 3x
(14 + 7x) = 6x + -6 + 3x

Reorder the terms:
14 + 7x = -6 + 6x + 3x

Combine like terms: 6x + 3x = 9x
14 + 7x = -6 + 9x

Solving
14 + 7x = -6 + 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 = -6 + 9x + -9x

Combine like terms: 7x + -9x = -2x
14 + -2x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 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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