-.5(4x-6)=.33(3-6x)+2

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Solution for -.5(4x-6)=.33(3-6x)+2 equation:


Simplifying
-0.5(4x + -6) = 0.33(3 + -6x) + 2

Reorder the terms:
-0.5(-6 + 4x) = 0.33(3 + -6x) + 2
(-6 * -0.5 + 4x * -0.5) = 0.33(3 + -6x) + 2
(3 + -2x) = 0.33(3 + -6x) + 2
3 + -2x = (3 * 0.33 + -6x * 0.33) + 2
3 + -2x = (0.99 + -1.98x) + 2

Reorder the terms:
3 + -2x = 0.99 + 2 + -1.98x

Combine like terms: 0.99 + 2 = 2.99
3 + -2x = 2.99 + -1.98x

Solving
3 + -2x = 2.99 + -1.98x

Solving for variable 'x'.

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

Add '1.98x' to each side of the equation.
3 + -2x + 1.98x = 2.99 + -1.98x + 1.98x

Combine like terms: -2x + 1.98x = -0.02x
3 + -0.02x = 2.99 + -1.98x + 1.98x

Combine like terms: -1.98x + 1.98x = 0.00
3 + -0.02x = 2.99 + 0.00
3 + -0.02x = 2.99

Add '-3' to each side of the equation.
3 + -3 + -0.02x = 2.99 + -3

Combine like terms: 3 + -3 = 0
0 + -0.02x = 2.99 + -3
-0.02x = 2.99 + -3

Combine like terms: 2.99 + -3 = -0.01
-0.02x = -0.01

Divide each side by '-0.02'.
x = 0.5

Simplifying
x = 0.5

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