12+2(x+8)=3(3x-7)

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Solution for 12+2(x+8)=3(3x-7) equation:


Simplifying
12 + 2(x + 8) = 3(3x + -7)

Reorder the terms:
12 + 2(8 + x) = 3(3x + -7)
12 + (8 * 2 + x * 2) = 3(3x + -7)
12 + (16 + 2x) = 3(3x + -7)

Combine like terms: 12 + 16 = 28
28 + 2x = 3(3x + -7)

Reorder the terms:
28 + 2x = 3(-7 + 3x)
28 + 2x = (-7 * 3 + 3x * 3)
28 + 2x = (-21 + 9x)

Solving
28 + 2x = -21 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
28 + 2x + -9x = -21 + 9x + -9x

Combine like terms: 2x + -9x = -7x
28 + -7x = -21 + 9x + -9x

Combine like terms: 9x + -9x = 0
28 + -7x = -21 + 0
28 + -7x = -21

Add '-28' to each side of the equation.
28 + -28 + -7x = -21 + -28

Combine like terms: 28 + -28 = 0
0 + -7x = -21 + -28
-7x = -21 + -28

Combine like terms: -21 + -28 = -49
-7x = -49

Divide each side by '-7'.
x = 7

Simplifying
x = 7

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