3x-1+6x+18=2x+5+5x+24

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Solution for 3x-1+6x+18=2x+5+5x+24 equation:


Simplifying
3x + -1 + 6x + 18 = 2x + 5 + 5x + 24

Reorder the terms:
-1 + 18 + 3x + 6x = 2x + 5 + 5x + 24

Combine like terms: -1 + 18 = 17
17 + 3x + 6x = 2x + 5 + 5x + 24

Combine like terms: 3x + 6x = 9x
17 + 9x = 2x + 5 + 5x + 24

Reorder the terms:
17 + 9x = 5 + 24 + 2x + 5x

Combine like terms: 5 + 24 = 29
17 + 9x = 29 + 2x + 5x

Combine like terms: 2x + 5x = 7x
17 + 9x = 29 + 7x

Solving
17 + 9x = 29 + 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.
17 + 9x + -7x = 29 + 7x + -7x

Combine like terms: 9x + -7x = 2x
17 + 2x = 29 + 7x + -7x

Combine like terms: 7x + -7x = 0
17 + 2x = 29 + 0
17 + 2x = 29

Add '-17' to each side of the equation.
17 + -17 + 2x = 29 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 29 + -17
2x = 29 + -17

Combine like terms: 29 + -17 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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