1.20(x-5.50)=7.20(x-1.30)

Solution for 1.20(x-5.50)=7.20(x-1.30) equation:

Simplifying
1.20(x + -5.50) = 7.20(x + -1.30)

Reorder the terms:
1.20(-5.50 + x) = 7.20(x + -1.30)
(-5.50 * 1.20 + x * 1.20) = 7.20(x + -1.30)
(-6.6 + 1.20x) = 7.20(x + -1.30)

Reorder the terms:
-6.6 + 1.20x = 7.20(-1.30 + x)
-6.6 + 1.20x = (-1.30 * 7.20 + x * 7.20)
-6.6 + 1.20x = (-9.36 + 7.20x)

Solving
-6.6 + 1.20x = -9.36 + 7.20x

Solving for variable 'x'.

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

Add '-7.20x' to each side of the equation.
-6.6 + 1.20x + -7.20x = -9.36 + 7.20x + -7.20x

Combine like terms: 1.20x + -7.20x = -6x
-6.6 + -6x = -9.36 + 7.20x + -7.20x

Combine like terms: 7.20x + -7.20x = 0.00
-6.6 + -6x = -9.36 + 0.00
-6.6 + -6x = -9.36

Add '6.6' to each side of the equation.
-6.6 + 6.6 + -6x = -9.36 + 6.6

Combine like terms: -6.6 + 6.6 = 0.0
0.0 + -6x = -9.36 + 6.6
-6x = -9.36 + 6.6

Combine like terms: -9.36 + 6.6 = -2.76
-6x = -2.76

Divide each side by '-6'.
x = 0.46

Simplifying
x = 0.46