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

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

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

Reorder the terms:
67.2 + -78.72x = (-4.9 + 8.7x)

Remove parenthesis around (-4.9 + 8.7x)
67.2 + -78.72x = -4.9 + 8.7x

Solving
67.2 + -78.72x = -4.9 + 8.7x

Solving for variable 'x'.

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

Add '-8.7x' to each side of the equation.
67.2 + -78.72x + -8.7x = -4.9 + 8.7x + -8.7x

Combine like terms: -78.72x + -8.7x = -87.42x
67.2 + -87.42x = -4.9 + 8.7x + -8.7x

Combine like terms: 8.7x + -8.7x = 0.0
67.2 + -87.42x = -4.9 + 0.0
67.2 + -87.42x = -4.9

Add '-67.2' to each side of the equation.
67.2 + -67.2 + -87.42x = -4.9 + -67.2

Combine like terms: 67.2 + -67.2 = 0.0
0.0 + -87.42x = -4.9 + -67.2
-87.42x = -4.9 + -67.2

Combine like terms: -4.9 + -67.2 = -72.1
-87.42x = -72.1

Divide each side by '-87.42'.
x = 0.8247540609

Simplifying
x = 0.8247540609