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

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


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

Reorder the terms:
3x + 4(2 + x) = (x + 9)
3x + (2 * 4 + x * 4) = (x + 9)
3x + (8 + 4x) = (x + 9)

Reorder the terms:
8 + 3x + 4x = (x + 9)

Combine like terms: 3x + 4x = 7x
8 + 7x = (x + 9)

Reorder the terms:
8 + 7x = (9 + x)

Remove parenthesis around (9 + x)
8 + 7x = 9 + x

Solving
8 + 7x = 9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 7x + -1x = 9 + x + -1x

Combine like terms: 7x + -1x = 6x
8 + 6x = 9 + x + -1x

Combine like terms: x + -1x = 0
8 + 6x = 9 + 0
8 + 6x = 9

Add '-8' to each side of the equation.
8 + -8 + 6x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = 9 + -8
6x = 9 + -8

Combine like terms: 9 + -8 = 1
6x = 1

Divide each side by '6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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