3(4-x)=8(7x-2)

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Solution for 3(4-x)=8(7x-2) equation:


Simplifying
3(4 + -1x) = 8(7x + -2)
(4 * 3 + -1x * 3) = 8(7x + -2)
(12 + -3x) = 8(7x + -2)

Reorder the terms:
12 + -3x = 8(-2 + 7x)
12 + -3x = (-2 * 8 + 7x * 8)
12 + -3x = (-16 + 56x)

Solving
12 + -3x = -16 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
12 + -3x + -56x = -16 + 56x + -56x

Combine like terms: -3x + -56x = -59x
12 + -59x = -16 + 56x + -56x

Combine like terms: 56x + -56x = 0
12 + -59x = -16 + 0
12 + -59x = -16

Add '-12' to each side of the equation.
12 + -12 + -59x = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -59x = -16 + -12
-59x = -16 + -12

Combine like terms: -16 + -12 = -28
-59x = -28

Divide each side by '-59'.
x = 0.4745762712

Simplifying
x = 0.4745762712

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