5(x+1)+2=-2x-14

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Solution for 5(x+1)+2=-2x-14 equation:


Simplifying
5(x + 1) + 2 = -2x + -14

Reorder the terms:
5(1 + x) + 2 = -2x + -14
(1 * 5 + x * 5) + 2 = -2x + -14
(5 + 5x) + 2 = -2x + -14

Reorder the terms:
5 + 2 + 5x = -2x + -14

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

Reorder the terms:
7 + 5x = -14 + -2x

Solving
7 + 5x = -14 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
7 + 5x + 2x = -14 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
7 + 7x = -14 + 0
7 + 7x = -14

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

Combine like terms: 7 + -7 = 0
0 + 7x = -14 + -7
7x = -14 + -7

Combine like terms: -14 + -7 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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