-0.4(3x+1)=0.33(2-x)

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Solution for -0.4(3x+1)=0.33(2-x) equation: 


Simplifying
-0.4(3x + 1) = 0.33(2 + -1x)

Reorder the terms:
-0.4(1 + 3x) = 0.33(2 + -1x)
(1 * -0.4 + 3x * -0.4) = 0.33(2 + -1x)
(-0.4 + -1.2x) = 0.33(2 + -1x)
-0.4 + -1.2x = (2 * 0.33 + -1x * 0.33)
-0.4 + -1.2x = (0.66 + -0.33x)

Solving
-0.4 + -1.2x = 0.66 + -0.33x

Solving for variable 'x'.

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

Add '0.33x' to each side of the equation.
-0.4 + -1.2x + 0.33x = 0.66 + -0.33x + 0.33x

Combine like terms: -1.2x + 0.33x = -0.87x
-0.4 + -0.87x = 0.66 + -0.33x + 0.33x

Combine like terms: -0.33x + 0.33x = 0.00
-0.4 + -0.87x = 0.66 + 0.00
-0.4 + -0.87x = 0.66

Add '0.4' to each side of the equation.
-0.4 + 0.4 + -0.87x = 0.66 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -0.87x = 0.66 + 0.4
-0.87x = 0.66 + 0.4

Combine like terms: 0.66 + 0.4 = 1.06
-0.87x = 1.06

Divide each side by '-0.87'.
x = -1.218390805

Simplifying
x = -1.218390805

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