5.2(1.2x+6)=7.1x+34.4

Solution for 5.2(1.2x+6)=7.1x+34.4 equation:

Simplifying
5.2(1.2x + 6) = 7.1x + 34.4

Reorder the terms:
5.2(6 + 1.2x) = 7.1x + 34.4
(6 * 5.2 + 1.2x * 5.2) = 7.1x + 34.4
(31.2 + 6.24x) = 7.1x + 34.4

Reorder the terms:
31.2 + 6.24x = 34.4 + 7.1x

Solving
31.2 + 6.24x = 34.4 + 7.1x

Solving for variable 'x'.

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

Add '-7.1x' to each side of the equation.
31.2 + 6.24x + -7.1x = 34.4 + 7.1x + -7.1x

Combine like terms: 6.24x + -7.1x = -0.86x
31.2 + -0.86x = 34.4 + 7.1x + -7.1x

Combine like terms: 7.1x + -7.1x = 0.0
31.2 + -0.86x = 34.4 + 0.0
31.2 + -0.86x = 34.4

Add '-31.2' to each side of the equation.
31.2 + -31.2 + -0.86x = 34.4 + -31.2

Combine like terms: 31.2 + -31.2 = 0.0
0.0 + -0.86x = 34.4 + -31.2
-0.86x = 34.4 + -31.2

Combine like terms: 34.4 + -31.2 = 3.2
-0.86x = 3.2

Divide each side by '-0.86'.
x = -3.720930233

Simplifying
x = -3.720930233