2x+4(.5)=2x-4+3x+2

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Solution for 2x+4(.5)=2x-4+3x+2 equation: 


Simplifying
2x + 4(0.5) = 2x + -4 + 3x + 2

Multiply 4 * 0.5
2x + 2 = 2x + -4 + 3x + 2

Reorder the terms:
2 + 2x = 2x + -4 + 3x + 2

Reorder the terms:
2 + 2x = -4 + 2 + 2x + 3x

Combine like terms: -4 + 2 = -2
2 + 2x = -2 + 2x + 3x

Combine like terms: 2x + 3x = 5x
2 + 2x = -2 + 5x

Solving
2 + 2x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 2x + -5x = -2 + 5x + -5x

Combine like terms: 2x + -5x = -3x
2 + -3x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -3x = -2 + 0
2 + -3x = -2

Add '-2' to each side of the equation.
2 + -2 + -3x = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -2 + -2
-3x = -2 + -2

Combine like terms: -2 + -2 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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