6.1(5.1+2.5x)=15.3x-5.9

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Solution for 6.1(5.1+2.5x)=15.3x-5.9 equation: 


Simplifying
6.1(5.1 + 2.5x) = 15.3x + -5.9
(5.1 * 6.1 + 2.5x * 6.1) = 15.3x + -5.9
(31.11 + 15.25x) = 15.3x + -5.9

Reorder the terms:
31.11 + 15.25x = -5.9 + 15.3x

Solving
31.11 + 15.25x = -5.9 + 15.3x

Solving for variable 'x'.

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

Add '-15.3x' to each side of the equation.
31.11 + 15.25x + -15.3x = -5.9 + 15.3x + -15.3x

Combine like terms: 15.25x + -15.3x = -0.05x
31.11 + -0.05x = -5.9 + 15.3x + -15.3x

Combine like terms: 15.3x + -15.3x = 0.0
31.11 + -0.05x = -5.9 + 0.0
31.11 + -0.05x = -5.9

Add '-31.11' to each side of the equation.
31.11 + -31.11 + -0.05x = -5.9 + -31.11

Combine like terms: 31.11 + -31.11 = 0.00
0.00 + -0.05x = -5.9 + -31.11
-0.05x = -5.9 + -31.11

Combine like terms: -5.9 + -31.11 = -37.01
-0.05x = -37.01

Divide each side by '-0.05'.
x = 740.2

Simplifying
x = 740.2

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