x-5*8=0.5*6(2x+12)

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Solution for x-5*8=0.5*6(2x+12) equation:


Simplifying
x + -5 * 8 = 0.5 * 6(2x + 12)

Multiply -5 * 8
x + -40 = 0.5 * 6(2x + 12)

Reorder the terms:
-40 + x = 0.5 * 6(2x + 12)

Reorder the terms:
-40 + x = 0.5 * 6(12 + 2x)

Multiply 0.5 * 6
-40 + x = 3(12 + 2x)
-40 + x = (12 * 3 + 2x * 3)
-40 + x = (36 + 6x)

Solving
-40 + x = 36 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-40 + x + -6x = 36 + 6x + -6x

Combine like terms: x + -6x = -5x
-40 + -5x = 36 + 6x + -6x

Combine like terms: 6x + -6x = 0
-40 + -5x = 36 + 0
-40 + -5x = 36

Add '40' to each side of the equation.
-40 + 40 + -5x = 36 + 40

Combine like terms: -40 + 40 = 0
0 + -5x = 36 + 40
-5x = 36 + 40

Combine like terms: 36 + 40 = 76
-5x = 76

Divide each side by '-5'.
x = -15.2

Simplifying
x = -15.2

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