2.8x+45.3=6.6-10.1x

Solution for 2.8x+45.3=6.6-10.1x equation:

Simplifying
2.8x + 45.3 = 6.6 + -10.1x

Reorder the terms:
45.3 + 2.8x = 6.6 + -10.1x

Solving
45.3 + 2.8x = 6.6 + -10.1x

Solving for variable 'x'.

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

Add '10.1x' to each side of the equation.
45.3 + 2.8x + 10.1x = 6.6 + -10.1x + 10.1x

Combine like terms: 2.8x + 10.1x = 12.9x
45.3 + 12.9x = 6.6 + -10.1x + 10.1x

Combine like terms: -10.1x + 10.1x = 0.0
45.3 + 12.9x = 6.6 + 0.0
45.3 + 12.9x = 6.6

Add '-45.3' to each side of the equation.
45.3 + -45.3 + 12.9x = 6.6 + -45.3

Combine like terms: 45.3 + -45.3 = 0.0
0.0 + 12.9x = 6.6 + -45.3
12.9x = 6.6 + -45.3

Combine like terms: 6.6 + -45.3 = -38.7
12.9x = -38.7

Divide each side by '12.9'.
x = -3

Simplifying
x = -3