2(5-2x)=1.2(3x-5)

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Solution for 2(5-2x)=1.2(3x-5) equation: 


Simplifying
2(5 + -2x) = 1.2(3x + -5)
(5 * 2 + -2x * 2) = 1.2(3x + -5)
(10 + -4x) = 1.2(3x + -5)

Reorder the terms:
10 + -4x = 1.2(-5 + 3x)
10 + -4x = (-5 * 1.2 + 3x * 1.2)
10 + -4x = (-6 + 3.6x)

Solving
10 + -4x = -6 + 3.6x

Solving for variable 'x'.

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

Add '-3.6x' to each side of the equation.
10 + -4x + -3.6x = -6 + 3.6x + -3.6x

Combine like terms: -4x + -3.6x = -7.6x
10 + -7.6x = -6 + 3.6x + -3.6x

Combine like terms: 3.6x + -3.6x = 0.0
10 + -7.6x = -6 + 0.0
10 + -7.6x = -6

Add '-10' to each side of the equation.
10 + -10 + -7.6x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -7.6x = -6 + -10
-7.6x = -6 + -10

Combine like terms: -6 + -10 = -16
-7.6x = -16

Divide each side by '-7.6'.
x = 2.105263158

Simplifying
x = 2.105263158

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