2.8(x+24)=3(x-24)

Solution for 2.8(x+24)=3(x-24) equation:

Simplifying
2.8(x + 24) = 3(x + -24)

Reorder the terms:
2.8(24 + x) = 3(x + -24)
(24 * 2.8 + x * 2.8) = 3(x + -24)
(67.2 + 2.8x) = 3(x + -24)

Reorder the terms:
67.2 + 2.8x = 3(-24 + x)
67.2 + 2.8x = (-24 * 3 + x * 3)
67.2 + 2.8x = (-72 + 3x)

Solving
67.2 + 2.8x = -72 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
67.2 + 2.8x + -3x = -72 + 3x + -3x

Combine like terms: 2.8x + -3x = -0.2x
67.2 + -0.2x = -72 + 3x + -3x

Combine like terms: 3x + -3x = 0
67.2 + -0.2x = -72 + 0
67.2 + -0.2x = -72

Add '-67.2' to each side of the equation.
67.2 + -67.2 + -0.2x = -72 + -67.2

Combine like terms: 67.2 + -67.2 = 0.0
0.0 + -0.2x = -72 + -67.2
-0.2x = -72 + -67.2

Combine like terms: -72 + -67.2 = -139.2
-0.2x = -139.2

Divide each side by '-0.2'.
x = 696

Simplifying
x = 696