5-3(7x-7)=-(3x-1)-9

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Solution for 5-3(7x-7)=-(3x-1)-9 equation:


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

Reorder the terms:
5 + -3(-7 + 7x) = -1(3x + -1) + -9
5 + (-7 * -3 + 7x * -3) = -1(3x + -1) + -9
5 + (21 + -21x) = -1(3x + -1) + -9

Combine like terms: 5 + 21 = 26
26 + -21x = -1(3x + -1) + -9

Reorder the terms:
26 + -21x = -1(-1 + 3x) + -9
26 + -21x = (-1 * -1 + 3x * -1) + -9
26 + -21x = (1 + -3x) + -9

Reorder the terms:
26 + -21x = 1 + -9 + -3x

Combine like terms: 1 + -9 = -8
26 + -21x = -8 + -3x

Solving
26 + -21x = -8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
26 + -21x + 3x = -8 + -3x + 3x

Combine like terms: -21x + 3x = -18x
26 + -18x = -8 + -3x + 3x

Combine like terms: -3x + 3x = 0
26 + -18x = -8 + 0
26 + -18x = -8

Add '-26' to each side of the equation.
26 + -26 + -18x = -8 + -26

Combine like terms: 26 + -26 = 0
0 + -18x = -8 + -26
-18x = -8 + -26

Combine like terms: -8 + -26 = -34
-18x = -34

Divide each side by '-18'.
x = 1.888888889

Simplifying
x = 1.888888889

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