(5x+6)+(3x+23)=(9x+12)

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Solution for (5x+6)+(3x+23)=(9x+12) equation:


Simplifying
(5x + 6) + (3x + 23) = (9x + 12)

Reorder the terms:
(6 + 5x) + (3x + 23) = (9x + 12)

Remove parenthesis around (6 + 5x)
6 + 5x + (3x + 23) = (9x + 12)

Reorder the terms:
6 + 5x + (23 + 3x) = (9x + 12)

Remove parenthesis around (23 + 3x)
6 + 5x + 23 + 3x = (9x + 12)

Reorder the terms:
6 + 23 + 5x + 3x = (9x + 12)

Combine like terms: 6 + 23 = 29
29 + 5x + 3x = (9x + 12)

Combine like terms: 5x + 3x = 8x
29 + 8x = (9x + 12)

Reorder the terms:
29 + 8x = (12 + 9x)

Remove parenthesis around (12 + 9x)
29 + 8x = 12 + 9x

Solving
29 + 8x = 12 + 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.
29 + 8x + -9x = 12 + 9x + -9x

Combine like terms: 8x + -9x = -1x
29 + -1x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
29 + -1x = 12 + 0
29 + -1x = 12

Add '-29' to each side of the equation.
29 + -29 + -1x = 12 + -29

Combine like terms: 29 + -29 = 0
0 + -1x = 12 + -29
-1x = 12 + -29

Combine like terms: 12 + -29 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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