-.5(-4x+3)-2=1+.5x

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Solution for -.5(-4x+3)-2=1+.5x equation: 


Simplifying
-0.5(-4x + 3) + -2 = 1 + 0.5x

Reorder the terms:
-0.5(3 + -4x) + -2 = 1 + 0.5x
(3 * -0.5 + -4x * -0.5) + -2 = 1 + 0.5x
(-1.5 + 2x) + -2 = 1 + 0.5x

Reorder the terms:
-1.5 + -2 + 2x = 1 + 0.5x

Combine like terms: -1.5 + -2 = -3.5
-3.5 + 2x = 1 + 0.5x

Solving
-3.5 + 2x = 1 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-3.5 + 2x + -0.5x = 1 + 0.5x + -0.5x

Combine like terms: 2x + -0.5x = 1.5x
-3.5 + 1.5x = 1 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-3.5 + 1.5x = 1 + 0.0
-3.5 + 1.5x = 1

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 1.5x = 1 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 1.5x = 1 + 3.5
1.5x = 1 + 3.5

Combine like terms: 1 + 3.5 = 4.5
1.5x = 4.5

Divide each side by '1.5'.
x = 3

Simplifying
x = 3

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