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

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


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

Reorder the terms:
5(2 + -1x) = -3(7x + 2)
(2 * 5 + -1x * 5) = -3(7x + 2)
(10 + -5x) = -3(7x + 2)

Reorder the terms:
10 + -5x = -3(2 + 7x)
10 + -5x = (2 * -3 + 7x * -3)
10 + -5x = (-6 + -21x)

Solving
10 + -5x = -6 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
10 + -5x + 21x = -6 + -21x + 21x

Combine like terms: -5x + 21x = 16x
10 + 16x = -6 + -21x + 21x

Combine like terms: -21x + 21x = 0
10 + 16x = -6 + 0
10 + 16x = -6

Add '-10' to each side of the equation.
10 + -10 + 16x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 16x = -6 + -10
16x = -6 + -10

Combine like terms: -6 + -10 = -16
16x = -16

Divide each side by '16'.
x = -1

Simplifying
x = -1

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