4.8(x+9)=5.9(x-2)

Solution for 4.8(x+9)=5.9(x-2) equation:

Simplifying
4.8(x + 9) = 5.9(x + -2)

Reorder the terms:
4.8(9 + x) = 5.9(x + -2)
(9 * 4.8 + x * 4.8) = 5.9(x + -2)
(43.2 + 4.8x) = 5.9(x + -2)

Reorder the terms:
43.2 + 4.8x = 5.9(-2 + x)
43.2 + 4.8x = (-2 * 5.9 + x * 5.9)
43.2 + 4.8x = (-11.8 + 5.9x)

Solving
43.2 + 4.8x = -11.8 + 5.9x

Solving for variable 'x'.

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

Add '-5.9x' to each side of the equation.
43.2 + 4.8x + -5.9x = -11.8 + 5.9x + -5.9x

Combine like terms: 4.8x + -5.9x = -1.1x
43.2 + -1.1x = -11.8 + 5.9x + -5.9x

Combine like terms: 5.9x + -5.9x = 0.0
43.2 + -1.1x = -11.8 + 0.0
43.2 + -1.1x = -11.8

Add '-43.2' to each side of the equation.
43.2 + -43.2 + -1.1x = -11.8 + -43.2

Combine like terms: 43.2 + -43.2 = 0.0
0.0 + -1.1x = -11.8 + -43.2
-1.1x = -11.8 + -43.2

Combine like terms: -11.8 + -43.2 = -55
-1.1x = -55

Divide each side by '-1.1'.
x = 50

Simplifying
x = 50