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

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


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

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

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

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

Solving
-15 + 10x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-15 + 10x + -3x = 2 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-15 + 7x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + 7x = 2 + 0
-15 + 7x = 2

Add '15' to each side of the equation.
-15 + 15 + 7x = 2 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 2 + 15
7x = 2 + 15

Combine like terms: 2 + 15 = 17
7x = 17

Divide each side by '7'.
x = 2.428571429

Simplifying
x = 2.428571429

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