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 = -179
-500 + 5x = -179 + 2x

Solving
-500 + 5x = -179 + 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 = -179 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-500 + 3x = -179 + 2x + -2x

Combine like terms: 2x + -2x = 0
-500 + 3x = -179 + 0
-500 + 3x = -179

Add '500' to each side of the equation.
-500 + 500 + 3x = -179 + 500

Combine like terms: -500 + 500 = 0
0 + 3x = -179 + 500
3x = -179 + 500

Combine like terms: -179 + 500 = 321
3x = 321

Divide each side by '3'.
x = 107

Simplifying
x = 107

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