12(x+3)=7(x+8)

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Solution for 12(x+3)=7(x+8) equation:


Simplifying
12(x + 3) = 7(x + 8)

Reorder the terms:
12(3 + x) = 7(x + 8)
(3 * 12 + x * 12) = 7(x + 8)
(36 + 12x) = 7(x + 8)

Reorder the terms:
36 + 12x = 7(8 + x)
36 + 12x = (8 * 7 + x * 7)
36 + 12x = (56 + 7x)

Solving
36 + 12x = 56 + 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.
36 + 12x + -7x = 56 + 7x + -7x

Combine like terms: 12x + -7x = 5x
36 + 5x = 56 + 7x + -7x

Combine like terms: 7x + -7x = 0
36 + 5x = 56 + 0
36 + 5x = 56

Add '-36' to each side of the equation.
36 + -36 + 5x = 56 + -36

Combine like terms: 36 + -36 = 0
0 + 5x = 56 + -36
5x = 56 + -36

Combine like terms: 56 + -36 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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