5(3x-1)-6x=3x-2

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Solution for 5(3x-1)-6x=3x-2 equation:


Simplifying
5(3x + -1) + -6x = 3x + -2

Reorder the terms:
5(-1 + 3x) + -6x = 3x + -2
(-1 * 5 + 3x * 5) + -6x = 3x + -2
(-5 + 15x) + -6x = 3x + -2

Combine like terms: 15x + -6x = 9x
-5 + 9x = 3x + -2

Reorder the terms:
-5 + 9x = -2 + 3x

Solving
-5 + 9x = -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.
-5 + 9x + -3x = -2 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-5 + 6x = -2 + 3x + -3x

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

Add '5' to each side of the equation.
-5 + 5 + 6x = -2 + 5

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

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

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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