3(2x+7)=9(x+4)

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Solution for 3(2x+7)=9(x+4) equation:


Simplifying
3(2x + 7) = 9(x + 4)

Reorder the terms:
3(7 + 2x) = 9(x + 4)
(7 * 3 + 2x * 3) = 9(x + 4)
(21 + 6x) = 9(x + 4)

Reorder the terms:
21 + 6x = 9(4 + x)
21 + 6x = (4 * 9 + x * 9)
21 + 6x = (36 + 9x)

Solving
21 + 6x = 36 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
21 + 6x + -9x = 36 + 9x + -9x

Combine like terms: 6x + -9x = -3x
21 + -3x = 36 + 9x + -9x

Combine like terms: 9x + -9x = 0
21 + -3x = 36 + 0
21 + -3x = 36

Add '-21' to each side of the equation.
21 + -21 + -3x = 36 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = 36 + -21
-3x = 36 + -21

Combine like terms: 36 + -21 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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