.33(x+4)-5=2-2.5x

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Solution for .33(x+4)-5=2-2.5x equation: 


Simplifying
0.33(x + 4) + -5 = 2 + -2.5x

Reorder the terms:
0.33(4 + x) + -5 = 2 + -2.5x
(4 * 0.33 + x * 0.33) + -5 = 2 + -2.5x
(1.32 + 0.33x) + -5 = 2 + -2.5x

Reorder the terms:
1.32 + -5 + 0.33x = 2 + -2.5x

Combine like terms: 1.32 + -5 = -3.68
-3.68 + 0.33x = 2 + -2.5x

Solving
-3.68 + 0.33x = 2 + -2.5x

Solving for variable 'x'.

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

Add '2.5x' to each side of the equation.
-3.68 + 0.33x + 2.5x = 2 + -2.5x + 2.5x

Combine like terms: 0.33x + 2.5x = 2.83x
-3.68 + 2.83x = 2 + -2.5x + 2.5x

Combine like terms: -2.5x + 2.5x = 0.0
-3.68 + 2.83x = 2 + 0.0
-3.68 + 2.83x = 2

Add '3.68' to each side of the equation.
-3.68 + 3.68 + 2.83x = 2 + 3.68

Combine like terms: -3.68 + 3.68 = 0.00
0.00 + 2.83x = 2 + 3.68
2.83x = 2 + 3.68

Combine like terms: 2 + 3.68 = 5.68
2.83x = 5.68

Divide each side by '2.83'.
x = 2.007067138

Simplifying
x = 2.007067138

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