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

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

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

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

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

Solving
-6 + 3x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 3x + -4x = 12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-6 + -1x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -1x = 12 + 0
-6 + -1x = 12

Add '6' to each side of the equation.
-6 + 6 + -1x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 12 + 6
-1x = 12 + 6

Combine like terms: 12 + 6 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18