3(x+9)=7x+24-x

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Solution for 3(x+9)=7x+24-x equation:


Simplifying
3(x + 9) = 7x + 24 + -1x

Reorder the terms:
3(9 + x) = 7x + 24 + -1x
(9 * 3 + x * 3) = 7x + 24 + -1x
(27 + 3x) = 7x + 24 + -1x

Reorder the terms:
27 + 3x = 24 + 7x + -1x

Combine like terms: 7x + -1x = 6x
27 + 3x = 24 + 6x

Solving
27 + 3x = 24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
27 + 3x + -6x = 24 + 6x + -6x

Combine like terms: 3x + -6x = -3x
27 + -3x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
27 + -3x = 24 + 0
27 + -3x = 24

Add '-27' to each side of the equation.
27 + -27 + -3x = 24 + -27

Combine like terms: 27 + -27 = 0
0 + -3x = 24 + -27
-3x = 24 + -27

Combine like terms: 24 + -27 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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