2-3(-7x-1)=-5(-x-7)

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


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

Reorder the terms:
2 + -3(-1 + -7x) = -5(-1x + -7)
2 + (-1 * -3 + -7x * -3) = -5(-1x + -7)
2 + (3 + 21x) = -5(-1x + -7)

Combine like terms: 2 + 3 = 5
5 + 21x = -5(-1x + -7)

Reorder the terms:
5 + 21x = -5(-7 + -1x)
5 + 21x = (-7 * -5 + -1x * -5)
5 + 21x = (35 + 5x)

Solving
5 + 21x = 35 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
5 + 21x + -5x = 35 + 5x + -5x

Combine like terms: 21x + -5x = 16x
5 + 16x = 35 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + 16x = 35 + 0
5 + 16x = 35

Add '-5' to each side of the equation.
5 + -5 + 16x = 35 + -5

Combine like terms: 5 + -5 = 0
0 + 16x = 35 + -5
16x = 35 + -5

Combine like terms: 35 + -5 = 30
16x = 30

Divide each side by '16'.
x = 1.875

Simplifying
x = 1.875

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