.33(6x-12)=4(.5x+1)-2

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Solution for .33(6x-12)=4(.5x+1)-2 equation: 


Simplifying
0.33(6x + -12) = 4(0.5x + 1) + -2

Reorder the terms:
0.33(-12 + 6x) = 4(0.5x + 1) + -2
(-12 * 0.33 + 6x * 0.33) = 4(0.5x + 1) + -2
(-3.96 + 1.98x) = 4(0.5x + 1) + -2

Reorder the terms:
-3.96 + 1.98x = 4(1 + 0.5x) + -2
-3.96 + 1.98x = (1 * 4 + 0.5x * 4) + -2
-3.96 + 1.98x = (4 + 2x) + -2

Reorder the terms:
-3.96 + 1.98x = 4 + -2 + 2x

Combine like terms: 4 + -2 = 2
-3.96 + 1.98x = 2 + 2x

Solving
-3.96 + 1.98x = 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.
-3.96 + 1.98x + -2x = 2 + 2x + -2x

Combine like terms: 1.98x + -2x = -0.02x
-3.96 + -0.02x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3.96 + -0.02x = 2 + 0
-3.96 + -0.02x = 2

Add '3.96' to each side of the equation.
-3.96 + 3.96 + -0.02x = 2 + 3.96

Combine like terms: -3.96 + 3.96 = 0.00
0.00 + -0.02x = 2 + 3.96
-0.02x = 2 + 3.96

Combine like terms: 2 + 3.96 = 5.96
-0.02x = 5.96

Divide each side by '-0.02'.
x = -298

Simplifying
x = -298

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