1.2x+4.6=3.1x-3

Solution for 1.2x+4.6=3.1x-3 equation:

Simplifying
1.2x + 4.6 = 3.1x + -3

Reorder the terms:
4.6 + 1.2x = 3.1x + -3

Reorder the terms:
4.6 + 1.2x = -3 + 3.1x

Solving
4.6 + 1.2x = -3 + 3.1x

Solving for variable 'x'.

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

Add '-3.1x' to each side of the equation.
4.6 + 1.2x + -3.1x = -3 + 3.1x + -3.1x

Combine like terms: 1.2x + -3.1x = -1.9x
4.6 + -1.9x = -3 + 3.1x + -3.1x

Combine like terms: 3.1x + -3.1x = 0.0
4.6 + -1.9x = -3 + 0.0
4.6 + -1.9x = -3

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -1.9x = -3 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -1.9x = -3 + -4.6
-1.9x = -3 + -4.6

Combine like terms: -3 + -4.6 = -7.6
-1.9x = -7.6

Divide each side by '-1.9'.
x = 4

Simplifying
x = 4