2.2(x-3)+1.6x=13.1(x+1.5)

Solution for 2.2(x-3)+1.6x=13.1(x+1.5) equation:

Simplifying
2.2(x + -3) + 1.6x = 13.1(x + 1.5)

Reorder the terms:
2.2(-3 + x) + 1.6x = 13.1(x + 1.5)
(-3 * 2.2 + x * 2.2) + 1.6x = 13.1(x + 1.5)
(-6.6 + 2.2x) + 1.6x = 13.1(x + 1.5)

Combine like terms: 2.2x + 1.6x = 3.8x
-6.6 + 3.8x = 13.1(x + 1.5)

Reorder the terms:
-6.6 + 3.8x = 13.1(1.5 + x)
-6.6 + 3.8x = (1.5 * 13.1 + x * 13.1)
-6.6 + 3.8x = (19.65 + 13.1x)

Solving
-6.6 + 3.8x = 19.65 + 13.1x

Solving for variable 'x'.

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

Add '-13.1x' to each side of the equation.
-6.6 + 3.8x + -13.1x = 19.65 + 13.1x + -13.1x

Combine like terms: 3.8x + -13.1x = -9.3x
-6.6 + -9.3x = 19.65 + 13.1x + -13.1x

Combine like terms: 13.1x + -13.1x = 0.0
-6.6 + -9.3x = 19.65 + 0.0
-6.6 + -9.3x = 19.65

Add '6.6' to each side of the equation.
-6.6 + 6.6 + -9.3x = 19.65 + 6.6

Combine like terms: -6.6 + 6.6 = 0.0
0.0 + -9.3x = 19.65 + 6.6
-9.3x = 19.65 + 6.6

Combine like terms: 19.65 + 6.6 = 26.25
-9.3x = 26.25

Divide each side by '-9.3'.
x = -2.822580645

Simplifying
x = -2.822580645