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

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


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

Reorder the terms:
5(-3 + 2x) = 3(2x)
(-3 * 5 + 2x * 5) = 3(2x)
(-15 + 10x) = 3(2x)

Remove parenthesis around (2x)
-15 + 10x = 3 * 2x

Multiply 3 * 2
-15 + 10x = 6x

Solving
-15 + 10x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-15 + 10x + -6x = 6x + -6x

Combine like terms: 10x + -6x = 4x
-15 + 4x = 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + 4x = 0

Add '15' to each side of the equation.
-15 + 15 + 4x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 0 + 15
4x = 0 + 15

Combine like terms: 0 + 15 = 15
4x = 15

Divide each side by '4'.
x = 3.75

Simplifying
x = 3.75

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