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

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


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

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

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

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

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

Add '3' to each side of the equation.
-3 + 1x + 3 + 2y = 0 + 3

Reorder the terms:
-3 + 3 + 1x + 2y = 0 + 3

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

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

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

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

Divide each side by '1'.
x = 3 + -2y

Simplifying
x = 3 + -2y

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