.5(3x-2)-.33=.75-.67(2x-1)

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Solution for .5(3x-2)-.33=.75-.67(2x-1) equation: 


Simplifying
0.5(3x + -2) + -0.33 = 0.75 + -0.67(2x + -1)

Reorder the terms:
0.5(-2 + 3x) + -0.33 = 0.75 + -0.67(2x + -1)
(-2 * 0.5 + 3x * 0.5) + -0.33 = 0.75 + -0.67(2x + -1)
(-1 + 1.5x) + -0.33 = 0.75 + -0.67(2x + -1)

Reorder the terms:
-1 + -0.33 + 1.5x = 0.75 + -0.67(2x + -1)

Combine like terms: -1 + -0.33 = -1.33
-1.33 + 1.5x = 0.75 + -0.67(2x + -1)

Reorder the terms:
-1.33 + 1.5x = 0.75 + -0.67(-1 + 2x)
-1.33 + 1.5x = 0.75 + (-1 * -0.67 + 2x * -0.67)
-1.33 + 1.5x = 0.75 + (0.67 + -1.34x)

Combine like terms: 0.75 + 0.67 = 1.42
-1.33 + 1.5x = 1.42 + -1.34x

Solving
-1.33 + 1.5x = 1.42 + -1.34x

Solving for variable 'x'.

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

Add '1.34x' to each side of the equation.
-1.33 + 1.5x + 1.34x = 1.42 + -1.34x + 1.34x

Combine like terms: 1.5x + 1.34x = 2.84x
-1.33 + 2.84x = 1.42 + -1.34x + 1.34x

Combine like terms: -1.34x + 1.34x = 0.00
-1.33 + 2.84x = 1.42 + 0.00
-1.33 + 2.84x = 1.42

Add '1.33' to each side of the equation.
-1.33 + 1.33 + 2.84x = 1.42 + 1.33

Combine like terms: -1.33 + 1.33 = 0.00
0.00 + 2.84x = 1.42 + 1.33
2.84x = 1.42 + 1.33

Combine like terms: 1.42 + 1.33 = 2.75
2.84x = 2.75

Divide each side by '2.84'.
x = 0.9683098592

Simplifying
x = 0.9683098592

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