3(x+7)=5x-9+x

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Solution for 3(x+7)=5x-9+x equation:


Simplifying
3(x + 7) = 5x + -9 + x

Reorder the terms:
3(7 + x) = 5x + -9 + x
(7 * 3 + x * 3) = 5x + -9 + x
(21 + 3x) = 5x + -9 + x

Reorder the terms:
21 + 3x = -9 + 5x + x

Combine like terms: 5x + x = 6x
21 + 3x = -9 + 6x

Solving
21 + 3x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
21 + 3x + -6x = -9 + 6x + -6x

Combine like terms: 3x + -6x = -3x
21 + -3x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
21 + -3x = -9 + 0
21 + -3x = -9

Add '-21' to each side of the equation.
21 + -21 + -3x = -9 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = -9 + -21
-3x = -9 + -21

Combine like terms: -9 + -21 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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