3.1(x+2)-1.5x=5.2(x-4)

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Solution for 3.1(x+2)-1.5x=5.2(x-4) equation: 


Simplifying
3.1(x + 2) + -1.5x = 5.2(x + -4)

Reorder the terms:
3.1(2 + x) + -1.5x = 5.2(x + -4)
(2 * 3.1 + x * 3.1) + -1.5x = 5.2(x + -4)
(6.2 + 3.1x) + -1.5x = 5.2(x + -4)

Combine like terms: 3.1x + -1.5x = 1.6x
6.2 + 1.6x = 5.2(x + -4)

Reorder the terms:
6.2 + 1.6x = 5.2(-4 + x)
6.2 + 1.6x = (-4 * 5.2 + x * 5.2)
6.2 + 1.6x = (-20.8 + 5.2x)

Solving
6.2 + 1.6x = -20.8 + 5.2x

Solving for variable 'x'.

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

Add '-5.2x' to each side of the equation.
6.2 + 1.6x + -5.2x = -20.8 + 5.2x + -5.2x

Combine like terms: 1.6x + -5.2x = -3.6x
6.2 + -3.6x = -20.8 + 5.2x + -5.2x

Combine like terms: 5.2x + -5.2x = 0.0
6.2 + -3.6x = -20.8 + 0.0
6.2 + -3.6x = -20.8

Add '-6.2' to each side of the equation.
6.2 + -6.2 + -3.6x = -20.8 + -6.2

Combine like terms: 6.2 + -6.2 = 0.0
0.0 + -3.6x = -20.8 + -6.2
-3.6x = -20.8 + -6.2

Combine like terms: -20.8 + -6.2 = -27
-3.6x = -27

Divide each side by '-3.6'.
x = 7.5

Simplifying
x = 7.5

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