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

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


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

Reorder the terms:
0.5(4 + 8x) = 3(4x + 8)
(4 * 0.5 + 8x * 0.5) = 3(4x + 8)
(2 + 4x) = 3(4x + 8)

Reorder the terms:
2 + 4x = 3(8 + 4x)
2 + 4x = (8 * 3 + 4x * 3)
2 + 4x = (24 + 12x)

Solving
2 + 4x = 24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + 4x + -12x = 24 + 12x + -12x

Combine like terms: 4x + -12x = -8x
2 + -8x = 24 + 12x + -12x

Combine like terms: 12x + -12x = 0
2 + -8x = 24 + 0
2 + -8x = 24

Add '-2' to each side of the equation.
2 + -2 + -8x = 24 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = 24 + -2
-8x = 24 + -2

Combine like terms: 24 + -2 = 22
-8x = 22

Divide each side by '-8'.
x = -2.75

Simplifying
x = -2.75

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