3(2x-1)=5(x+3)

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Solution for 3(2x-1)=5(x+3) equation:


Simplifying
3(2x + -1) = 5(x + 3)

Reorder the terms:
3(-1 + 2x) = 5(x + 3)
(-1 * 3 + 2x * 3) = 5(x + 3)
(-3 + 6x) = 5(x + 3)

Reorder the terms:
-3 + 6x = 5(3 + x)
-3 + 6x = (3 * 5 + x * 5)
-3 + 6x = (15 + 5x)

Solving
-3 + 6x = 15 + 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.
-3 + 6x + -5x = 15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-3 + 1x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 1x = 15 + 0
-3 + 1x = 15

Add '3' to each side of the equation.
-3 + 3 + 1x = 15 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 15 + 3
1x = 15 + 3

Combine like terms: 15 + 3 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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