0.5*(3-4x)=2-0.5*(6+3x)

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Solution for 0.5*(3-4x)=2-0.5*(6+3x) equation: 


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

Combine like terms: 2 + -3 = -1
1.5 + -2x = -1 + -1.5x

Solving
1.5 + -2x = -1 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
1.5 + -2x + 1.5x = -1 + -1.5x + 1.5x

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

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.5x = -1 + -1.5

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

Combine like terms: -1 + -1.5 = -2.5
-0.5x = -2.5

Divide each side by '-0.5'.
x = 5

Simplifying
x = 5

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