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

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


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

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

Reorder the terms:
21 + 7x = 4(9 + x)
21 + 7x = (9 * 4 + x * 4)
21 + 7x = (36 + 4x)

Solving
21 + 7x = 36 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
21 + 7x + -4x = 36 + 4x + -4x

Combine like terms: 7x + -4x = 3x
21 + 3x = 36 + 4x + -4x

Combine like terms: 4x + -4x = 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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