.33(2x+3)-.20(x+6)=4

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Solution for .33(2x+3)-.20(x+6)=4 equation: 


Simplifying
0.33(2x + 3) + -0.20(x + 6) = 4

Reorder the terms:
0.33(3 + 2x) + -0.20(x + 6) = 4
(3 * 0.33 + 2x * 0.33) + -0.20(x + 6) = 4
(0.99 + 0.66x) + -0.20(x + 6) = 4

Reorder the terms:
0.99 + 0.66x + -0.20(6 + x) = 4
0.99 + 0.66x + (6 * -0.20 + x * -0.20) = 4
0.99 + 0.66x + (-1.2 + -0.20x) = 4

Reorder the terms:
0.99 + -1.2 + 0.66x + -0.20x = 4

Combine like terms: 0.99 + -1.2 = -0.21
-0.21 + 0.66x + -0.20x = 4

Combine like terms: 0.66x + -0.20x = 0.46x
-0.21 + 0.46x = 4

Solving
-0.21 + 0.46x = 4

Solving for variable 'x'.

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

Add '0.21' to each side of the equation.
-0.21 + 0.21 + 0.46x = 4 + 0.21

Combine like terms: -0.21 + 0.21 = 0.00
0.00 + 0.46x = 4 + 0.21
0.46x = 4 + 0.21

Combine like terms: 4 + 0.21 = 4.21
0.46x = 4.21

Divide each side by '0.46'.
x = 9.152173913

Simplifying
x = 9.152173913

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