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

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

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

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

Reorder the terms:
6 + 4x = 2(-1.5 + x)
6 + 4x = (-1.5 * 2 + x * 2)
6 + 4x = (-3 + 2x)

Solving
6 + 4x = -3 + 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 + 4x + -2x = -3 + 2x + -2x

Combine like terms: 4x + -2x = 2x
6 + 2x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 2x = -3 + 0
6 + 2x = -3

Add '-6' to each side of the equation.
6 + -6 + 2x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -3 + -6
2x = -3 + -6

Combine like terms: -3 + -6 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5