10(3x-2)=12.5(2x)

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Solution for 10(3x-2)=12.5(2x) equation:


Simplifying
10(3x + -2) = 12.5(2x)

Reorder the terms:
10(-2 + 3x) = 12.5(2x)
(-2 * 10 + 3x * 10) = 12.5(2x)
(-20 + 30x) = 12.5(2x)

Remove parenthesis around (2x)
-20 + 30x = 12.5 * 2x

Multiply 12.5 * 2
-20 + 30x = 25x

Solving
-20 + 30x = 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
-20 + 30x + -25x = 25x + -25x

Combine like terms: 30x + -25x = 5x
-20 + 5x = 25x + -25x

Combine like terms: 25x + -25x = 0
-20 + 5x = 0

Add '20' to each side of the equation.
-20 + 20 + 5x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 0 + 20
5x = 0 + 20

Combine like terms: 0 + 20 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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