3(3-7x)-(1-4x)=x-5

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Solution for 3(3-7x)-(1-4x)=x-5 equation: 


Simplifying
3(3 + -7x) + -1(1 + -4x) = x + -5
(3 * 3 + -7x * 3) + -1(1 + -4x) = x + -5
(9 + -21x) + -1(1 + -4x) = x + -5
9 + -21x + (1 * -1 + -4x * -1) = x + -5
9 + -21x + (-1 + 4x) = x + -5

Reorder the terms:
9 + -1 + -21x + 4x = x + -5

Combine like terms: 9 + -1 = 8
8 + -21x + 4x = x + -5

Combine like terms: -21x + 4x = -17x
8 + -17x = x + -5

Reorder the terms:
8 + -17x = -5 + x

Solving
8 + -17x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + -17x + -1x = -5 + x + -1x

Combine like terms: -17x + -1x = -18x
8 + -18x = -5 + x + -1x

Combine like terms: x + -1x = 0
8 + -18x = -5 + 0
8 + -18x = -5

Add '-8' to each side of the equation.
8 + -8 + -18x = -5 + -8

Combine like terms: 8 + -8 = 0
0 + -18x = -5 + -8
-18x = -5 + -8

Combine like terms: -5 + -8 = -13
-18x = -13

Divide each side by '-18'.
x = 0.7222222222

Simplifying
x = 0.7222222222

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