9(x+4)=7(x+6)

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Solution for 9(x+4)=7(x+6) equation: 


Simplifying
9(x + 4) = 7(x + 6)

Reorder the terms:
9(4 + x) = 7(x + 6)
(4 * 9 + x * 9) = 7(x + 6)
(36 + 9x) = 7(x + 6)

Reorder the terms:
36 + 9x = 7(6 + x)
36 + 9x = (6 * 7 + x * 7)
36 + 9x = (42 + 7x)

Solving
36 + 9x = 42 + 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.
36 + 9x + -7x = 42 + 7x + -7x

Combine like terms: 9x + -7x = 2x
36 + 2x = 42 + 7x + -7x

Combine like terms: 7x + -7x = 0
36 + 2x = 42 + 0
36 + 2x = 42

Add '-36' to each side of the equation.
36 + -36 + 2x = 42 + -36

Combine like terms: 36 + -36 = 0
0 + 2x = 42 + -36
2x = 42 + -36

Combine like terms: 42 + -36 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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