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

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


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

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

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

Solving
5 + 3x = -2 + 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.
5 + 3x + -6x = -2 + 6x + -6x

Combine like terms: 3x + -6x = -3x
5 + -3x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -3x = -2 + 0
5 + -3x = -2

Add '-5' to each side of the equation.
5 + -5 + -3x = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -2 + -5
-3x = -2 + -5

Combine like terms: -2 + -5 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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