5.3x+11.82=4.2(3.1x-7.5)

Solution for 5.3x+11.82=4.2(3.1x-7.5) equation:

Simplifying
5.3x + 11.82 = 4.2(3.1x + -7.5)

Reorder the terms:
11.82 + 5.3x = 4.2(3.1x + -7.5)

Reorder the terms:
11.82 + 5.3x = 4.2(-7.5 + 3.1x)
11.82 + 5.3x = (-7.5 * 4.2 + 3.1x * 4.2)
11.82 + 5.3x = (-31.5 + 13.02x)

Solving
11.82 + 5.3x = -31.5 + 13.02x

Solving for variable 'x'.

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

Add '-13.02x' to each side of the equation.
11.82 + 5.3x + -13.02x = -31.5 + 13.02x + -13.02x

Combine like terms: 5.3x + -13.02x = -7.72x
11.82 + -7.72x = -31.5 + 13.02x + -13.02x

Combine like terms: 13.02x + -13.02x = 0.00
11.82 + -7.72x = -31.5 + 0.00
11.82 + -7.72x = -31.5

Add '-11.82' to each side of the equation.
11.82 + -11.82 + -7.72x = -31.5 + -11.82

Combine like terms: 11.82 + -11.82 = 0.00
0.00 + -7.72x = -31.5 + -11.82
-7.72x = -31.5 + -11.82

Combine like terms: -31.5 + -11.82 = -43.32
-7.72x = -43.32

Divide each side by '-7.72'.
x = 5.611398964

Simplifying
x = 5.611398964