-5(-2x-5)+2=5(80-2x)+21

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Solution for -5(-2x-5)+2=5(80-2x)+21 equation:


Simplifying
-5(-2x + -5) + 2 = 5(80 + -2x) + 21

Reorder the terms:
-5(-5 + -2x) + 2 = 5(80 + -2x) + 21
(-5 * -5 + -2x * -5) + 2 = 5(80 + -2x) + 21
(25 + 10x) + 2 = 5(80 + -2x) + 21

Reorder the terms:
25 + 2 + 10x = 5(80 + -2x) + 21

Combine like terms: 25 + 2 = 27
27 + 10x = 5(80 + -2x) + 21
27 + 10x = (80 * 5 + -2x * 5) + 21
27 + 10x = (400 + -10x) + 21

Reorder the terms:
27 + 10x = 400 + 21 + -10x

Combine like terms: 400 + 21 = 421
27 + 10x = 421 + -10x

Solving
27 + 10x = 421 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
27 + 10x + 10x = 421 + -10x + 10x

Combine like terms: 10x + 10x = 20x
27 + 20x = 421 + -10x + 10x

Combine like terms: -10x + 10x = 0
27 + 20x = 421 + 0
27 + 20x = 421

Add '-27' to each side of the equation.
27 + -27 + 20x = 421 + -27

Combine like terms: 27 + -27 = 0
0 + 20x = 421 + -27
20x = 421 + -27

Combine like terms: 421 + -27 = 394
20x = 394

Divide each side by '20'.
x = 19.7

Simplifying
x = 19.7

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