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

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

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

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

Reorder the terms:
-6 + 3x = 4(3 + y)
-6 + 3x = (3 * 4 + y * 4)
-6 + 3x = (12 + 4y)

Solving
-6 + 3x = 12 + 4y

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 + 6 + 3x = 12 + 6 + 4y

Combine like terms: -6 + 6 = 0
0 + 3x = 12 + 6 + 4y
3x = 12 + 6 + 4y

Combine like terms: 12 + 6 = 18
3x = 18 + 4y

Divide each side by '3'.
x = 6 + 1.333333333y

Simplifying
x = 6 + 1.333333333y