2x+4(.5x-3)=0

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Solution for 2x+4(.5x-3)=0 equation:


Simplifying
2x + 4(0.5x + -3) = 0

Reorder the terms:
2x + 4(-3 + 0.5x) = 0
2x + (-3 * 4 + 0.5x * 4) = 0
2x + (-12 + 2x) = 0

Reorder the terms:
-12 + 2x + 2x = 0

Combine like terms: 2x + 2x = 4x
-12 + 4x = 0

Solving
-12 + 4x = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 4x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 0 + 12
4x = 0 + 12

Combine like terms: 0 + 12 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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