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

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


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

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

Reorder the terms:
21 + 6x = 7 + -2(-7 + x)
21 + 6x = 7 + (-7 * -2 + x * -2)
21 + 6x = 7 + (14 + -2x)

Combine like terms: 7 + 14 = 21
21 + 6x = 21 + -2x

Add '-21' to each side of the equation.
21 + -21 + 6x = 21 + -21 + -2x

Combine like terms: 21 + -21 = 0
0 + 6x = 21 + -21 + -2x
6x = 21 + -21 + -2x

Combine like terms: 21 + -21 = 0
6x = 0 + -2x
6x = -2x

Solving
6x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6x + 2x = -2x + 2x

Combine like terms: 6x + 2x = 8x
8x = -2x + 2x

Combine like terms: -2x + 2x = 0
8x = 0

Divide each side by '8'.
x = 0

Simplifying
x = 0

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