3(3x+4)=4(x+6)-2

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Solution for 3(3x+4)=4(x+6)-2 equation:


Simplifying
3(3x + 4) = 4(x + 6) + -2

Reorder the terms:
3(4 + 3x) = 4(x + 6) + -2
(4 * 3 + 3x * 3) = 4(x + 6) + -2
(12 + 9x) = 4(x + 6) + -2

Reorder the terms:
12 + 9x = 4(6 + x) + -2
12 + 9x = (6 * 4 + x * 4) + -2
12 + 9x = (24 + 4x) + -2

Reorder the terms:
12 + 9x = 24 + -2 + 4x

Combine like terms: 24 + -2 = 22
12 + 9x = 22 + 4x

Solving
12 + 9x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 9x + -4x = 22 + 4x + -4x

Combine like terms: 9x + -4x = 5x
12 + 5x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 5x = 22 + 0
12 + 5x = 22

Add '-12' to each side of the equation.
12 + -12 + 5x = 22 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 22 + -12
5x = 22 + -12

Combine like terms: 22 + -12 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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