19.2(3.5-4.1x)=7.2(8.7x-4.9)

Solution for 19.2(3.5-4.1x)=7.2(8.7x-4.9) equation:

Simplifying
19.2(3.5 + -4.1x) = 7.2(8.7x + -4.9)
(3.5 * 19.2 + -4.1x * 19.2) = 7.2(8.7x + -4.9)
(67.2 + -78.72x) = 7.2(8.7x + -4.9)

Reorder the terms:
67.2 + -78.72x = 7.2(-4.9 + 8.7x)
67.2 + -78.72x = (-4.9 * 7.2 + 8.7x * 7.2)
67.2 + -78.72x = (-35.28 + 62.64x)

Solving
67.2 + -78.72x = -35.28 + 62.64x

Solving for variable 'x'.

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

Add '-62.64x' to each side of the equation.
67.2 + -78.72x + -62.64x = -35.28 + 62.64x + -62.64x

Combine like terms: -78.72x + -62.64x = -141.36x
67.2 + -141.36x = -35.28 + 62.64x + -62.64x

Combine like terms: 62.64x + -62.64x = 0.00
67.2 + -141.36x = -35.28 + 0.00
67.2 + -141.36x = -35.28

Add '-67.2' to each side of the equation.
67.2 + -67.2 + -141.36x = -35.28 + -67.2

Combine like terms: 67.2 + -67.2 = 0.0
0.0 + -141.36x = -35.28 + -67.2
-141.36x = -35.28 + -67.2

Combine like terms: -35.28 + -67.2 = -102.48
-141.36x = -102.48

Divide each side by '-141.36'.
x = 0.7249575552

Simplifying
x = 0.7249575552