5.4-3.1(4x+3)=45.7

Solution for 5.4-3.1(4x+3)=45.7 equation:

Simplifying
5.4 + -3.1(4x + 3) = 45.7

Reorder the terms:
5.4 + -3.1(3 + 4x) = 45.7
5.4 + (3 * -3.1 + 4x * -3.1) = 45.7
5.4 + (-9.3 + -12.4x) = 45.7

Combine like terms: 5.4 + -9.3 = -3.9
-3.9 + -12.4x = 45.7

Solving
-3.9 + -12.4x = 45.7

Solving for variable 'x'.

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

Add '3.9' to each side of the equation.
-3.9 + 3.9 + -12.4x = 45.7 + 3.9

Combine like terms: -3.9 + 3.9 = 0.0
0.0 + -12.4x = 45.7 + 3.9
-12.4x = 45.7 + 3.9

Combine like terms: 45.7 + 3.9 = 49.6
-12.4x = 49.6

Divide each side by '-12.4'.
x = -4

Simplifying
x = -4