3*(1-8x)-x=5-7*(x+2)

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Solution for 3*(1-8x)-x=5-7*(x+2) equation:


Simplifying
3(1 + -8x) + -1x = 5 + -7(x + 2)
(1 * 3 + -8x * 3) + -1x = 5 + -7(x + 2)
(3 + -24x) + -1x = 5 + -7(x + 2)

Combine like terms: -24x + -1x = -25x
3 + -25x = 5 + -7(x + 2)

Reorder the terms:
3 + -25x = 5 + -7(2 + x)
3 + -25x = 5 + (2 * -7 + x * -7)
3 + -25x = 5 + (-14 + -7x)

Combine like terms: 5 + -14 = -9
3 + -25x = -9 + -7x

Solving
3 + -25x = -9 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
3 + -25x + 7x = -9 + -7x + 7x

Combine like terms: -25x + 7x = -18x
3 + -18x = -9 + -7x + 7x

Combine like terms: -7x + 7x = 0
3 + -18x = -9 + 0
3 + -18x = -9

Add '-3' to each side of the equation.
3 + -3 + -18x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -18x = -9 + -3
-18x = -9 + -3

Combine like terms: -9 + -3 = -12
-18x = -12

Divide each side by '-18'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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