.33(2x+7)=4(1-2x)+7

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Solution for .33(2x+7)=4(1-2x)+7 equation: 


Simplifying
0.33(2x + 7) = 4(1 + -2x) + 7

Reorder the terms:
0.33(7 + 2x) = 4(1 + -2x) + 7
(7 * 0.33 + 2x * 0.33) = 4(1 + -2x) + 7
(2.31 + 0.66x) = 4(1 + -2x) + 7
2.31 + 0.66x = (1 * 4 + -2x * 4) + 7
2.31 + 0.66x = (4 + -8x) + 7

Reorder the terms:
2.31 + 0.66x = 4 + 7 + -8x

Combine like terms: 4 + 7 = 11
2.31 + 0.66x = 11 + -8x

Solving
2.31 + 0.66x = 11 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
2.31 + 0.66x + 8x = 11 + -8x + 8x

Combine like terms: 0.66x + 8x = 8.66x
2.31 + 8.66x = 11 + -8x + 8x

Combine like terms: -8x + 8x = 0
2.31 + 8.66x = 11 + 0
2.31 + 8.66x = 11

Add '-2.31' to each side of the equation.
2.31 + -2.31 + 8.66x = 11 + -2.31

Combine like terms: 2.31 + -2.31 = 0.00
0.00 + 8.66x = 11 + -2.31
8.66x = 11 + -2.31

Combine like terms: 11 + -2.31 = 8.69
8.66x = 8.69

Divide each side by '8.66'.
x = 1.003464203

Simplifying
x = 1.003464203

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