2.5(x+2)+4.5=1.5(x-4)

Solution for 2.5(x+2)+4.5=1.5(x-4) equation:

Simplifying
2.5(x + 2) + 4.5 = 1.5(x + -4)

Reorder the terms:
2.5(2 + x) + 4.5 = 1.5(x + -4)
(2 * 2.5 + x * 2.5) + 4.5 = 1.5(x + -4)
(5 + 2.5x) + 4.5 = 1.5(x + -4)

Reorder the terms:
5 + 4.5 + 2.5x = 1.5(x + -4)

Combine like terms: 5 + 4.5 = 9.5
9.5 + 2.5x = 1.5(x + -4)

Reorder the terms:
9.5 + 2.5x = 1.5(-4 + x)
9.5 + 2.5x = (-4 * 1.5 + x * 1.5)
9.5 + 2.5x = (-6 + 1.5x)

Solving
9.5 + 2.5x = -6 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
9.5 + 2.5x + -1.5x = -6 + 1.5x + -1.5x

Combine like terms: 2.5x + -1.5x = 1x
9.5 + 1x = -6 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
9.5 + 1x = -6 + 0.0
9.5 + 1x = -6

Add '-9.5' to each side of the equation.
9.5 + -9.5 + 1x = -6 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + 1x = -6 + -9.5
1x = -6 + -9.5

Combine like terms: -6 + -9.5 = -15.5
1x = -15.5

Divide each side by '1'.
x = -15.5

Simplifying
x = -15.5