5(1.2x+6)=7.1x+31.4

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Solution for 5(1.2x+6)=7.1x+31.4 equation: 


Simplifying
5(1.2x + 6) = 7.1x + 31.4

Reorder the terms:
5(6 + 1.2x) = 7.1x + 31.4
(6 * 5 + 1.2x * 5) = 7.1x + 31.4
(30 + 6x) = 7.1x + 31.4

Reorder the terms:
30 + 6x = 31.4 + 7.1x

Solving
30 + 6x = 31.4 + 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.
30 + 6x + -7.1x = 31.4 + 7.1x + -7.1x

Combine like terms: 6x + -7.1x = -1.1x
30 + -1.1x = 31.4 + 7.1x + -7.1x

Combine like terms: 7.1x + -7.1x = 0.0
30 + -1.1x = 31.4 + 0.0
30 + -1.1x = 31.4

Add '-30' to each side of the equation.
30 + -30 + -1.1x = 31.4 + -30

Combine like terms: 30 + -30 = 0
0 + -1.1x = 31.4 + -30
-1.1x = 31.4 + -30

Combine like terms: 31.4 + -30 = 1.4
-1.1x = 1.4

Divide each side by '-1.1'.
x = -1.272727273

Simplifying
x = -1.272727273

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