3(4-x)=8(7x-1)

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Solution for 3(4-x)=8(7x-1) equation:


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

Reorder the terms:
12 + -3x = 8(-1 + 7x)
12 + -3x = (-1 * 8 + 7x * 8)
12 + -3x = (-8 + 56x)

Solving
12 + -3x = -8 + 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 = -8 + 56x + -56x

Combine like terms: -3x + -56x = -59x
12 + -59x = -8 + 56x + -56x

Combine like terms: 56x + -56x = 0
12 + -59x = -8 + 0
12 + -59x = -8

Add '-12' to each side of the equation.
12 + -12 + -59x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -59x = -8 + -12
-59x = -8 + -12

Combine like terms: -8 + -12 = -20
-59x = -20

Divide each side by '-59'.
x = 0.3389830508

Simplifying
x = 0.3389830508

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