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

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


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

Reorder the terms:
7(4 + x) = 9(x + 2)
(4 * 7 + x * 7) = 9(x + 2)
(28 + 7x) = 9(x + 2)

Reorder the terms:
28 + 7x = 9(2 + x)
28 + 7x = (2 * 9 + x * 9)
28 + 7x = (18 + 9x)

Solving
28 + 7x = 18 + 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.
28 + 7x + -9x = 18 + 9x + -9x

Combine like terms: 7x + -9x = -2x
28 + -2x = 18 + 9x + -9x

Combine like terms: 9x + -9x = 0
28 + -2x = 18 + 0
28 + -2x = 18

Add '-28' to each side of the equation.
28 + -28 + -2x = 18 + -28

Combine like terms: 28 + -28 = 0
0 + -2x = 18 + -28
-2x = 18 + -28

Combine like terms: 18 + -28 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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