6(x+4)=0.125(16x+8)

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Solution for 6(x+4)=0.125(16x+8) equation:


Simplifying
6(x + 4) = 0.125(16x + 8)

Reorder the terms:
6(4 + x) = 0.125(16x + 8)
(4 * 6 + x * 6) = 0.125(16x + 8)
(24 + 6x) = 0.125(16x + 8)

Reorder the terms:
24 + 6x = 0.125(8 + 16x)
24 + 6x = (8 * 0.125 + 16x * 0.125)
24 + 6x = (1 + 2x)

Solving
24 + 6x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
24 + 6x + -2x = 1 + 2x + -2x

Combine like terms: 6x + -2x = 4x
24 + 4x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 4x = 1 + 0
24 + 4x = 1

Add '-24' to each side of the equation.
24 + -24 + 4x = 1 + -24

Combine like terms: 24 + -24 = 0
0 + 4x = 1 + -24
4x = 1 + -24

Combine like terms: 1 + -24 = -23
4x = -23

Divide each side by '4'.
x = -5.75

Simplifying
x = -5.75

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