28(3x-5)=20(3x-5)+10

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Solution for 28(3x-5)=20(3x-5)+10 equation: 


Simplifying
28(3x + -5) = 20(3x + -5) + 10

Reorder the terms:
28(-5 + 3x) = 20(3x + -5) + 10
(-5 * 28 + 3x * 28) = 20(3x + -5) + 10
(-140 + 84x) = 20(3x + -5) + 10

Reorder the terms:
-140 + 84x = 20(-5 + 3x) + 10
-140 + 84x = (-5 * 20 + 3x * 20) + 10
-140 + 84x = (-100 + 60x) + 10

Reorder the terms:
-140 + 84x = -100 + 10 + 60x

Combine like terms: -100 + 10 = -90
-140 + 84x = -90 + 60x

Solving
-140 + 84x = -90 + 60x

Solving for variable 'x'.

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

Add '-60x' to each side of the equation.
-140 + 84x + -60x = -90 + 60x + -60x

Combine like terms: 84x + -60x = 24x
-140 + 24x = -90 + 60x + -60x

Combine like terms: 60x + -60x = 0
-140 + 24x = -90 + 0
-140 + 24x = -90

Add '140' to each side of the equation.
-140 + 140 + 24x = -90 + 140

Combine like terms: -140 + 140 = 0
0 + 24x = -90 + 140
24x = -90 + 140

Combine like terms: -90 + 140 = 50
24x = 50

Divide each side by '24'.
x = 2.083333333

Simplifying
x = 2.083333333

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