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

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Solution for 3.2(x+2)-1.5x=5.2(x-4) equation: 


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

Reorder the terms:
3.2(2 + x) + -1.5x = 5.2(x + -4)
(2 * 3.2 + x * 3.2) + -1.5x = 5.2(x + -4)
(6.4 + 3.2x) + -1.5x = 5.2(x + -4)

Combine like terms: 3.2x + -1.5x = 1.7x
6.4 + 1.7x = 5.2(x + -4)

Reorder the terms:
6.4 + 1.7x = 5.2(-4 + x)
6.4 + 1.7x = (-4 * 5.2 + x * 5.2)
6.4 + 1.7x = (-20.8 + 5.2x)

Solving
6.4 + 1.7x = -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.
6.4 + 1.7x + -5.2x = -20.8 + 5.2x + -5.2x

Combine like terms: 1.7x + -5.2x = -3.5x
6.4 + -3.5x = -20.8 + 5.2x + -5.2x

Combine like terms: 5.2x + -5.2x = 0.0
6.4 + -3.5x = -20.8 + 0.0
6.4 + -3.5x = -20.8

Add '-6.4' to each side of the equation.
6.4 + -6.4 + -3.5x = -20.8 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + -3.5x = -20.8 + -6.4
-3.5x = -20.8 + -6.4

Combine like terms: -20.8 + -6.4 = -27.2
-3.5x = -27.2

Divide each side by '-3.5'.
x = 7.771428571

Simplifying
x = 7.771428571

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