2(2y-3)+3x=7

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Solution for 2(2y-3)+3x=7 equation:


Simplifying
2(2y + -3) + 3x = 7

Reorder the terms:
2(-3 + 2y) + 3x = 7
(-3 * 2 + 2y * 2) + 3x = 7
(-6 + 4y) + 3x = 7

Reorder the terms:
-6 + 3x + 4y = 7

Solving
-6 + 3x + 4y = 7

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 3x + 6 + 4y = 7 + 6

Reorder the terms:
-6 + 6 + 3x + 4y = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 3x + 4y = 7 + 6
3x + 4y = 7 + 6

Combine like terms: 7 + 6 = 13
3x + 4y = 13

Add '-4y' to each side of the equation.
3x + 4y + -4y = 13 + -4y

Combine like terms: 4y + -4y = 0
3x + 0 = 13 + -4y
3x = 13 + -4y

Divide each side by '3'.
x = 4.333333333 + -1.333333333y

Simplifying
x = 4.333333333 + -1.333333333y

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