5x-0.5(3x+8)=-4+3x

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Solution for 5x-0.5(3x+8)=-4+3x equation: 


Simplifying
5x + -0.5(3x + 8) = -4 + 3x

Reorder the terms:
5x + -0.5(8 + 3x) = -4 + 3x
5x + (8 * -0.5 + 3x * -0.5) = -4 + 3x
5x + (-4 + -1.5x) = -4 + 3x

Reorder the terms:
-4 + 5x + -1.5x = -4 + 3x

Combine like terms: 5x + -1.5x = 3.5x
-4 + 3.5x = -4 + 3x

Add '4' to each side of the equation.
-4 + 4 + 3.5x = -4 + 4 + 3x

Combine like terms: -4 + 4 = 0
0 + 3.5x = -4 + 4 + 3x
3.5x = -4 + 4 + 3x

Combine like terms: -4 + 4 = 0
3.5x = 0 + 3x
3.5x = 3x

Solving
3.5x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3.5x + -3x = 3x + -3x

Combine like terms: 3.5x + -3x = 0.5x
0.5x = 3x + -3x

Combine like terms: 3x + -3x = 0
0.5x = 0

Divide each side by '0.5'.
x = 0

Simplifying
x = 0

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