3.1(x+2)-15x=2(x-5)

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Solution for 3.1(x+2)-15x=2(x-5) equation: 


Simplifying
3.1(x + 2) + -15x = 2(x + -5)

Reorder the terms:
3.1(2 + x) + -15x = 2(x + -5)
(2 * 3.1 + x * 3.1) + -15x = 2(x + -5)
(6.2 + 3.1x) + -15x = 2(x + -5)

Combine like terms: 3.1x + -15x = -11.9x
6.2 + -11.9x = 2(x + -5)

Reorder the terms:
6.2 + -11.9x = 2(-5 + x)
6.2 + -11.9x = (-5 * 2 + x * 2)
6.2 + -11.9x = (-10 + 2x)

Solving
6.2 + -11.9x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6.2 + -11.9x + -2x = -10 + 2x + -2x

Combine like terms: -11.9x + -2x = -13.9x
6.2 + -13.9x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
6.2 + -13.9x = -10 + 0
6.2 + -13.9x = -10

Add '-6.2' to each side of the equation.
6.2 + -6.2 + -13.9x = -10 + -6.2

Combine like terms: 6.2 + -6.2 = 0.0
0.0 + -13.9x = -10 + -6.2
-13.9x = -10 + -6.2

Combine like terms: -10 + -6.2 = -16.2
-13.9x = -16.2

Divide each side by '-13.9'.
x = 1.165467626

Simplifying
x = 1.165467626

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