6(x-8)=.5(7*x-3)

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Solution for 6(x-8)=.5(7*x-3) equation:


Simplifying
6(x + -8) = 0.5(7x + -3)

Reorder the terms:
6(-8 + x) = 0.5(7x + -3)
(-8 * 6 + x * 6) = 0.5(7x + -3)
(-48 + 6x) = 0.5(7x + -3)

Reorder the terms:
-48 + 6x = 0.5(-3 + 7x)
-48 + 6x = (-3 * 0.5 + 7x * 0.5)
-48 + 6x = (-1.5 + 3.5x)

Solving
-48 + 6x = -1.5 + 3.5x

Solving for variable 'x'.

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

Add '-3.5x' to each side of the equation.
-48 + 6x + -3.5x = -1.5 + 3.5x + -3.5x

Combine like terms: 6x + -3.5x = 2.5x
-48 + 2.5x = -1.5 + 3.5x + -3.5x

Combine like terms: 3.5x + -3.5x = 0.0
-48 + 2.5x = -1.5 + 0.0
-48 + 2.5x = -1.5

Add '48' to each side of the equation.
-48 + 48 + 2.5x = -1.5 + 48

Combine like terms: -48 + 48 = 0
0 + 2.5x = -1.5 + 48
2.5x = -1.5 + 48

Combine like terms: -1.5 + 48 = 46.5
2.5x = 46.5

Divide each side by '2.5'.
x = 18.6

Simplifying
x = 18.6

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