3(3y+1)-4x=13

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Solution for 3(3y+1)-4x=13 equation:


Simplifying
3(3y + 1) + -4x = 13

Reorder the terms:
3(1 + 3y) + -4x = 13
(1 * 3 + 3y * 3) + -4x = 13
(3 + 9y) + -4x = 13

Reorder the terms:
3 + -4x + 9y = 13

Solving
3 + -4x + 9y = 13

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -4x + -3 + 9y = 13 + -3

Reorder the terms:
3 + -3 + -4x + 9y = 13 + -3

Combine like terms: 3 + -3 = 0
0 + -4x + 9y = 13 + -3
-4x + 9y = 13 + -3

Combine like terms: 13 + -3 = 10
-4x + 9y = 10

Add '-9y' to each side of the equation.
-4x + 9y + -9y = 10 + -9y

Combine like terms: 9y + -9y = 0
-4x + 0 = 10 + -9y
-4x = 10 + -9y

Divide each side by '-4'.
x = -2.5 + 2.25y

Simplifying
x = -2.5 + 2.25y

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