(3x+9)+5=2(x+8)

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Solution for (3x+9)+5=2(x+8) equation:


Simplifying
(3x + 9) + 5 = 2(x + 8)

Reorder the terms:
(9 + 3x) + 5 = 2(x + 8)

Remove parenthesis around (9 + 3x)
9 + 3x + 5 = 2(x + 8)

Reorder the terms:
9 + 5 + 3x = 2(x + 8)

Combine like terms: 9 + 5 = 14
14 + 3x = 2(x + 8)

Reorder the terms:
14 + 3x = 2(8 + x)
14 + 3x = (8 * 2 + x * 2)
14 + 3x = (16 + 2x)

Solving
14 + 3x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + 3x + -2x = 16 + 2x + -2x

Combine like terms: 3x + -2x = 1x
14 + 1x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + 1x = 16 + 0
14 + 1x = 16

Add '-14' to each side of the equation.
14 + -14 + 1x = 16 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 16 + -14
1x = 16 + -14

Combine like terms: 16 + -14 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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