5x+21=-2x-14

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Solution for 5x+21=-2x-14 equation:


Simplifying
5x + 21 = -2x + -14

Reorder the terms:
21 + 5x = -2x + -14

Reorder the terms:
21 + 5x = -14 + -2x

Solving
21 + 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.
21 + 5x + 2x = -14 + -2x + 2x

Combine like terms: 5x + 2x = 7x
21 + 7x = -14 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + 7x = -14 + 0
21 + 7x = -14

Add '-21' to each side of the equation.
21 + -21 + 7x = -14 + -21

Combine like terms: 21 + -21 = 0
0 + 7x = -14 + -21
7x = -14 + -21

Combine like terms: -14 + -21 = -35
7x = -35

Divide each side by '7'.
x = -5

Simplifying
x = -5

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