7(x+2)=x-10-2x

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Solution for 7(x+2)=x-10-2x equation:


Simplifying
7(x + 2) = x + -10 + -2x

Reorder the terms:
7(2 + x) = x + -10 + -2x
(2 * 7 + x * 7) = x + -10 + -2x
(14 + 7x) = x + -10 + -2x

Reorder the terms:
14 + 7x = -10 + x + -2x

Combine like terms: x + -2x = -1x
14 + 7x = -10 + -1x

Solving
14 + 7x = -10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
14 + 7x + x = -10 + -1x + x

Combine like terms: 7x + x = 8x
14 + 8x = -10 + -1x + x

Combine like terms: -1x + x = 0
14 + 8x = -10 + 0
14 + 8x = -10

Add '-14' to each side of the equation.
14 + -14 + 8x = -10 + -14

Combine like terms: 14 + -14 = 0
0 + 8x = -10 + -14
8x = -10 + -14

Combine like terms: -10 + -14 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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