3.1(2x+5)=5.7-1.3x

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Solution for 3.1(2x+5)=5.7-1.3x equation:


Simplifying
3.1(2x + 5) = 5.7 + -1.3x

Reorder the terms:
3.1(5 + 2x) = 5.7 + -1.3x
(5 * 3.1 + 2x * 3.1) = 5.7 + -1.3x
(15.5 + 6.2x) = 5.7 + -1.3x

Solving
15.5 + 6.2x = 5.7 + -1.3x

Solving for variable 'x'.

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

Add '1.3x' to each side of the equation.
15.5 + 6.2x + 1.3x = 5.7 + -1.3x + 1.3x

Combine like terms: 6.2x + 1.3x = 7.5x
15.5 + 7.5x = 5.7 + -1.3x + 1.3x

Combine like terms: -1.3x + 1.3x = 0.0
15.5 + 7.5x = 5.7 + 0.0
15.5 + 7.5x = 5.7

Add '-15.5' to each side of the equation.
15.5 + -15.5 + 7.5x = 5.7 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + 7.5x = 5.7 + -15.5
7.5x = 5.7 + -15.5

Combine like terms: 5.7 + -15.5 = -9.8
7.5x = -9.8

Divide each side by '7.5'.
x = -1.306666667

Simplifying
x = -1.306666667

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