3(x+7)=2(3x+24)

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Solution for 3(x+7)=2(3x+24) equation:


Simplifying
3(x + 7) = 2(3x + 24)

Reorder the terms:
3(7 + x) = 2(3x + 24)
(7 * 3 + x * 3) = 2(3x + 24)
(21 + 3x) = 2(3x + 24)

Reorder the terms:
21 + 3x = 2(24 + 3x)
21 + 3x = (24 * 2 + 3x * 2)
21 + 3x = (48 + 6x)

Solving
21 + 3x = 48 + 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.
21 + 3x + -6x = 48 + 6x + -6x

Combine like terms: 3x + -6x = -3x
21 + -3x = 48 + 6x + -6x

Combine like terms: 6x + -6x = 0
21 + -3x = 48 + 0
21 + -3x = 48

Add '-21' to each side of the equation.
21 + -21 + -3x = 48 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = 48 + -21
-3x = 48 + -21

Combine like terms: 48 + -21 = 27
-3x = 27

Divide each side by '-3'.
x = -9

Simplifying
x = -9

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