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

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


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

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

Reorder the terms:
21 + 3x = 7(-7 + x)
21 + 3x = (-7 * 7 + x * 7)
21 + 3x = (-49 + 7x)

Solving
21 + 3x = -49 + 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 = -49 + 7x + -7x

Combine like terms: 3x + -7x = -4x
21 + -4x = -49 + 7x + -7x

Combine like terms: 7x + -7x = 0
21 + -4x = -49 + 0
21 + -4x = -49

Add '-21' to each side of the equation.
21 + -21 + -4x = -49 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = -49 + -21
-4x = -49 + -21

Combine like terms: -49 + -21 = -70
-4x = -70

Divide each side by '-4'.
x = 17.5

Simplifying
x = 17.5

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