.33(2x+1)=2(2-2x)+15

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Solution for .33(2x+1)=2(2-2x)+15 equation: 


Simplifying
0.33(2x + 1) = 2(2 + -2x) + 15

Reorder the terms:
0.33(1 + 2x) = 2(2 + -2x) + 15
(1 * 0.33 + 2x * 0.33) = 2(2 + -2x) + 15
(0.33 + 0.66x) = 2(2 + -2x) + 15
0.33 + 0.66x = (2 * 2 + -2x * 2) + 15
0.33 + 0.66x = (4 + -4x) + 15

Reorder the terms:
0.33 + 0.66x = 4 + 15 + -4x

Combine like terms: 4 + 15 = 19
0.33 + 0.66x = 19 + -4x

Solving
0.33 + 0.66x = 19 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
0.33 + 0.66x + 4x = 19 + -4x + 4x

Combine like terms: 0.66x + 4x = 4.66x
0.33 + 4.66x = 19 + -4x + 4x

Combine like terms: -4x + 4x = 0
0.33 + 4.66x = 19 + 0
0.33 + 4.66x = 19

Add '-0.33' to each side of the equation.
0.33 + -0.33 + 4.66x = 19 + -0.33

Combine like terms: 0.33 + -0.33 = 0.00
0.00 + 4.66x = 19 + -0.33
4.66x = 19 + -0.33

Combine like terms: 19 + -0.33 = 18.67
4.66x = 18.67

Divide each side by '4.66'.
x = 4.006437768

Simplifying
x = 4.006437768

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