5(38.3-x)=20(14.7-x)

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Solution for 5(38.3-x)=20(14.7-x) equation:


Simplifying
5(38.3 + -1x) = 20(14.7 + -1x)
(38.3 * 5 + -1x * 5) = 20(14.7 + -1x)
(191.5 + -5x) = 20(14.7 + -1x)
191.5 + -5x = (14.7 * 20 + -1x * 20)
191.5 + -5x = (294 + -20x)

Solving
191.5 + -5x = 294 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
191.5 + -5x + 20x = 294 + -20x + 20x

Combine like terms: -5x + 20x = 15x
191.5 + 15x = 294 + -20x + 20x

Combine like terms: -20x + 20x = 0
191.5 + 15x = 294 + 0
191.5 + 15x = 294

Add '-191.5' to each side of the equation.
191.5 + -191.5 + 15x = 294 + -191.5

Combine like terms: 191.5 + -191.5 = 0.0
0.0 + 15x = 294 + -191.5
15x = 294 + -191.5

Combine like terms: 294 + -191.5 = 102.5
15x = 102.5

Divide each side by '15'.
x = 6.833333333

Simplifying
x = 6.833333333

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