5(x-7)=-2x-21

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Solution for 5(x-7)=-2x-21 equation:


Simplifying
5(x + -7) = -2x + -21

Reorder the terms:
5(-7 + x) = -2x + -21
(-7 * 5 + x * 5) = -2x + -21
(-35 + 5x) = -2x + -21

Reorder the terms:
-35 + 5x = -21 + -2x

Solving
-35 + 5x = -21 + -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.
-35 + 5x + 2x = -21 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-35 + 7x = -21 + -2x + 2x

Combine like terms: -2x + 2x = 0
-35 + 7x = -21 + 0
-35 + 7x = -21

Add '35' to each side of the equation.
-35 + 35 + 7x = -21 + 35

Combine like terms: -35 + 35 = 0
0 + 7x = -21 + 35
7x = -21 + 35

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

Divide each side by '7'.
x = 2

Simplifying
x = 2

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