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

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


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

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

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

Solving
21 + -3x = -21 + -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.
21 + -3x + 7x = -21 + -7x + 7x

Combine like terms: -3x + 7x = 4x
21 + 4x = -21 + -7x + 7x

Combine like terms: -7x + 7x = 0
21 + 4x = -21 + 0
21 + 4x = -21

Add '-21' to each side of the equation.
21 + -21 + 4x = -21 + -21

Combine like terms: 21 + -21 = 0
0 + 4x = -21 + -21
4x = -21 + -21

Combine like terms: -21 + -21 = -42
4x = -42

Divide each side by '4'.
x = -10.5

Simplifying
x = -10.5

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