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

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


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

Reorder the terms:
3(2 + x) = 24 + -7(x + 2)
(2 * 3 + x * 3) = 24 + -7(x + 2)
(6 + 3x) = 24 + -7(x + 2)

Reorder the terms:
6 + 3x = 24 + -7(2 + x)
6 + 3x = 24 + (2 * -7 + x * -7)
6 + 3x = 24 + (-14 + -7x)

Combine like terms: 24 + -14 = 10
6 + 3x = 10 + -7x

Solving
6 + 3x = 10 + -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.
6 + 3x + 7x = 10 + -7x + 7x

Combine like terms: 3x + 7x = 10x
6 + 10x = 10 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 10x = 10 + 0
6 + 10x = 10

Add '-6' to each side of the equation.
6 + -6 + 10x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 10 + -6
10x = 10 + -6

Combine like terms: 10 + -6 = 4
10x = 4

Divide each side by '10'.
x = 0.4

Simplifying
x = 0.4

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