1.5(x+4)=2(x-1)

Solution for 1.5(x+4)=2(x-1) equation:

Simplifying
1.5(x + 4) = 2(x + -1)

Reorder the terms:
1.5(4 + x) = 2(x + -1)
(4 * 1.5 + x * 1.5) = 2(x + -1)
(6 + 1.5x) = 2(x + -1)

Reorder the terms:
6 + 1.5x = 2(-1 + x)
6 + 1.5x = (-1 * 2 + x * 2)
6 + 1.5x = (-2 + 2x)

Solving
6 + 1.5x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 1.5x + -2x = -2 + 2x + -2x

Combine like terms: 1.5x + -2x = -0.5x
6 + -0.5x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -0.5x = -2 + 0
6 + -0.5x = -2

Add '-6' to each side of the equation.
6 + -6 + -0.5x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -0.5x = -2 + -6
-0.5x = -2 + -6

Combine like terms: -2 + -6 = -8
-0.5x = -8

Divide each side by '-0.5'.
x = 16

Simplifying
x = 16