-1.5(x+4)=2.4(x-9)

Solution for -1.5(x+4)=2.4(x-9) equation:

Simplifying
-1.5(x + 4) = 2.4(x + -9)

Reorder the terms:
-1.5(4 + x) = 2.4(x + -9)
(4 * -1.5 + x * -1.5) = 2.4(x + -9)
(-6 + -1.5x) = 2.4(x + -9)

Reorder the terms:
-6 + -1.5x = 2.4(-9 + x)
-6 + -1.5x = (-9 * 2.4 + x * 2.4)
-6 + -1.5x = (-21.6 + 2.4x)

Solving
-6 + -1.5x = -21.6 + 2.4x

Solving for variable 'x'.

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

Add '-2.4x' to each side of the equation.
-6 + -1.5x + -2.4x = -21.6 + 2.4x + -2.4x

Combine like terms: -1.5x + -2.4x = -3.9x
-6 + -3.9x = -21.6 + 2.4x + -2.4x

Combine like terms: 2.4x + -2.4x = 0.0
-6 + -3.9x = -21.6 + 0.0
-6 + -3.9x = -21.6

Add '6' to each side of the equation.
-6 + 6 + -3.9x = -21.6 + 6

Combine like terms: -6 + 6 = 0
0 + -3.9x = -21.6 + 6
-3.9x = -21.6 + 6

Combine like terms: -21.6 + 6 = -15.6
-3.9x = -15.6

Divide each side by '-3.9'.
x = 4

Simplifying
x = 4