1.6(2x-3)=-2(x+2)

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Solution for 1.6(2x-3)=-2(x+2) equation:


Simplifying
1.6(2x + -3) = -2(x + 2)

Reorder the terms:
1.6(-3 + 2x) = -2(x + 2)
(-3 * 1.6 + 2x * 1.6) = -2(x + 2)
(-4.8 + 3.2x) = -2(x + 2)

Reorder the terms:
-4.8 + 3.2x = -2(2 + x)
-4.8 + 3.2x = (2 * -2 + x * -2)
-4.8 + 3.2x = (-4 + -2x)

Solving
-4.8 + 3.2x = -4 + -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.
-4.8 + 3.2x + 2x = -4 + -2x + 2x

Combine like terms: 3.2x + 2x = 5.2x
-4.8 + 5.2x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4.8 + 5.2x = -4 + 0
-4.8 + 5.2x = -4

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 5.2x = -4 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 5.2x = -4 + 4.8
5.2x = -4 + 4.8

Combine like terms: -4 + 4.8 = 0.8
5.2x = 0.8

Divide each side by '5.2'.
x = 0.1538461538

Simplifying
x = 0.1538461538

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