3(x-20)=5(28-x)

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Solution for 3(x-20)=5(28-x) equation:


Simplifying
3(x + -20) = 5(28 + -1x)

Reorder the terms:
3(-20 + x) = 5(28 + -1x)
(-20 * 3 + x * 3) = 5(28 + -1x)
(-60 + 3x) = 5(28 + -1x)
-60 + 3x = (28 * 5 + -1x * 5)
-60 + 3x = (140 + -5x)

Solving
-60 + 3x = 140 + -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.
-60 + 3x + 5x = 140 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-60 + 8x = 140 + -5x + 5x

Combine like terms: -5x + 5x = 0
-60 + 8x = 140 + 0
-60 + 8x = 140

Add '60' to each side of the equation.
-60 + 60 + 8x = 140 + 60

Combine like terms: -60 + 60 = 0
0 + 8x = 140 + 60
8x = 140 + 60

Combine like terms: 140 + 60 = 200
8x = 200

Divide each side by '8'.
x = 25

Simplifying
x = 25

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