3(8-3x)=5(2+x)

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Solution for 3(8-3x)=5(2+x) equation:


Simplifying
3(8 + -3x) = 5(2 + x)
(8 * 3 + -3x * 3) = 5(2 + x)
(24 + -9x) = 5(2 + x)
24 + -9x = (2 * 5 + x * 5)
24 + -9x = (10 + 5x)

Solving
24 + -9x = 10 + 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.
24 + -9x + -5x = 10 + 5x + -5x

Combine like terms: -9x + -5x = -14x
24 + -14x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -14x = 10 + 0
24 + -14x = 10

Add '-24' to each side of the equation.
24 + -24 + -14x = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -14x = 10 + -24
-14x = 10 + -24

Combine like terms: 10 + -24 = -14
-14x = -14

Divide each side by '-14'.
x = 1

Simplifying
x = 1

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