.75(2+4x)-2.33=5+.5x

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Solution for .75(2+4x)-2.33=5+.5x equation: 


Simplifying
0.75(2 + 4x) + -2.33 = 5 + 0.5x
(2 * 0.75 + 4x * 0.75) + -2.33 = 5 + 0.5x
(1.5 + 3x) + -2.33 = 5 + 0.5x

Reorder the terms:
1.5 + -2.33 + 3x = 5 + 0.5x

Combine like terms: 1.5 + -2.33 = -0.83
-0.83 + 3x = 5 + 0.5x

Solving
-0.83 + 3x = 5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-0.83 + 3x + -0.5x = 5 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
-0.83 + 2.5x = 5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-0.83 + 2.5x = 5 + 0.0
-0.83 + 2.5x = 5

Add '0.83' to each side of the equation.
-0.83 + 0.83 + 2.5x = 5 + 0.83

Combine like terms: -0.83 + 0.83 = 0.00
0.00 + 2.5x = 5 + 0.83
2.5x = 5 + 0.83

Combine like terms: 5 + 0.83 = 5.83
2.5x = 5.83

Divide each side by '2.5'.
x = 2.332

Simplifying
x = 2.332

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