2(x-1)+3y=4

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Solution for 2(x-1)+3y=4 equation: 


Simplifying
2(x + -1) + 3y = 4

Reorder the terms:
2(-1 + x) + 3y = 4
(-1 * 2 + x * 2) + 3y = 4
(-2 + 2x) + 3y = 4

Solving
-2 + 2x + 3y = 4

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2x + 2 + 3y = 4 + 2

Reorder the terms:
-2 + 2 + 2x + 3y = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 2x + 3y = 4 + 2
2x + 3y = 4 + 2

Combine like terms: 4 + 2 = 6
2x + 3y = 6

Add '-3y' to each side of the equation.
2x + 3y + -3y = 6 + -3y

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

Divide each side by '2'.
x = 3 + -1.5y

Simplifying
x = 3 + -1.5y

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