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

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Solution for 2(x-0.5)=4(x+4) equation:


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

Reorder the terms:
2(-0.5 + x) = 4(x + 4)
(-0.5 * 2 + x * 2) = 4(x + 4)
(-1 + 2x) = 4(x + 4)

Reorder the terms:
-1 + 2x = 4(4 + x)
-1 + 2x = (4 * 4 + x * 4)
-1 + 2x = (16 + 4x)

Solving
-1 + 2x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + 2x + -4x = 16 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-1 + -2x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -2x = 16 + 0
-1 + -2x = 16

Add '1' to each side of the equation.
-1 + 1 + -2x = 16 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 16 + 1
-2x = 16 + 1

Combine like terms: 16 + 1 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5

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