.5(3-5x)=6-(2x+4)

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Solution for .5(3-5x)=6-(2x+4) equation: 


Simplifying
0.5(3 + -5x) = 6 + -1(2x + 4)
(3 * 0.5 + -5x * 0.5) = 6 + -1(2x + 4)
(1.5 + -2.5x) = 6 + -1(2x + 4)

Reorder the terms:
1.5 + -2.5x = 6 + -1(4 + 2x)
1.5 + -2.5x = 6 + (4 * -1 + 2x * -1)
1.5 + -2.5x = 6 + (-4 + -2x)

Combine like terms: 6 + -4 = 2
1.5 + -2.5x = 2 + -2x

Solving
1.5 + -2.5x = 2 + -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.
1.5 + -2.5x + 2x = 2 + -2x + 2x

Combine like terms: -2.5x + 2x = -0.5x
1.5 + -0.5x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
1.5 + -0.5x = 2 + 0
1.5 + -0.5x = 2

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.5x = 2 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.5x = 2 + -1.5
-0.5x = 2 + -1.5

Combine like terms: 2 + -1.5 = 0.5
-0.5x = 0.5

Divide each side by '-0.5'.
x = -1

Simplifying
x = -1

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