5(x+100)=2(x+100)+21

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Solution for 5(x+100)=2(x+100)+21 equation: 


Simplifying
5(x + 100) = 2(x + 100) + 21

Reorder the terms:
5(100 + x) = 2(x + 100) + 21
(100 * 5 + x * 5) = 2(x + 100) + 21
(500 + 5x) = 2(x + 100) + 21

Reorder the terms:
500 + 5x = 2(100 + x) + 21
500 + 5x = (100 * 2 + x * 2) + 21
500 + 5x = (200 + 2x) + 21

Reorder the terms:
500 + 5x = 200 + 21 + 2x

Combine like terms: 200 + 21 = 221
500 + 5x = 221 + 2x

Solving
500 + 5x = 221 + 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.
500 + 5x + -2x = 221 + 2x + -2x

Combine like terms: 5x + -2x = 3x
500 + 3x = 221 + 2x + -2x

Combine like terms: 2x + -2x = 0
500 + 3x = 221 + 0
500 + 3x = 221

Add '-500' to each side of the equation.
500 + -500 + 3x = 221 + -500

Combine like terms: 500 + -500 = 0
0 + 3x = 221 + -500
3x = 221 + -500

Combine like terms: 221 + -500 = -279
3x = -279

Divide each side by '3'.
x = -93

Simplifying
x = -93

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