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

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


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

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

Solving
35 + -7x = 21 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
35 + -7x + 5x = 21 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
35 + -2x = 21 + 0
35 + -2x = 21

Add '-35' to each side of the equation.
35 + -35 + -2x = 21 + -35

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

Combine like terms: 21 + -35 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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