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

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


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

Reorder the terms:
5(-1 + 2x) + 3 = 3(3x + 2)
(-1 * 5 + 2x * 5) + 3 = 3(3x + 2)
(-5 + 10x) + 3 = 3(3x + 2)

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

Combine like terms: -5 + 3 = -2
-2 + 10x = 3(3x + 2)

Reorder the terms:
-2 + 10x = 3(2 + 3x)
-2 + 10x = (2 * 3 + 3x * 3)
-2 + 10x = (6 + 9x)

Solving
-2 + 10x = 6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-2 + 10x + -9x = 6 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-2 + 1x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + 1x = 6 + 0
-2 + 1x = 6

Add '2' to each side of the equation.
-2 + 2 + 1x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 6 + 2
1x = 6 + 2

Combine like terms: 6 + 2 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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