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

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


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

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

Reorder the terms:
-2 + 6x = -3 + 5x

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

Combine like terms: 6x + -5x = 1x
-2 + 1x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 1x = -3 + 0
-2 + 1x = -3

Add '2' to each side of the equation.
-2 + 2 + 1x = -3 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -3 + 2
1x = -3 + 2

Combine like terms: -3 + 2 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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