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 = 7x
6 + 7x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 7x = 12 + 0
6 + 7x = 12

Add '-6' to each side of the equation.
6 + -6 + 7x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 12 + -6
7x = 12 + -6

Combine like terms: 12 + -6 = 6
7x = 6

Divide each side by '7'.
x = 0.8571428571

Simplifying
x = 0.8571428571