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

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


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

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

Reorder the terms:
-36 + 12x = 7(3 + x)
-36 + 12x = (3 * 7 + x * 7)
-36 + 12x = (21 + 7x)

Solving
-36 + 12x = 21 + 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 = 21 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-36 + 5x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-36 + 5x = 21 + 0
-36 + 5x = 21

Add '36' to each side of the equation.
-36 + 36 + 5x = 21 + 36

Combine like terms: -36 + 36 = 0
0 + 5x = 21 + 36
5x = 21 + 36

Combine like terms: 21 + 36 = 57
5x = 57

Divide each side by '5'.
x = 11.4

Simplifying
x = 11.4

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