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

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


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

Reorder the terms:
(2 + 3x) = 4(3x + 4)

Remove parenthesis around (2 + 3x)
2 + 3x = 4(3x + 4)

Reorder the terms:
2 + 3x = 4(4 + 3x)
2 + 3x = (4 * 4 + 3x * 4)
2 + 3x = (16 + 12x)

Solving
2 + 3x = 16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + 3x + -12x = 16 + 12x + -12x

Combine like terms: 3x + -12x = -9x
2 + -9x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
2 + -9x = 16 + 0
2 + -9x = 16

Add '-2' to each side of the equation.
2 + -2 + -9x = 16 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 16 + -2
-9x = 16 + -2

Combine like terms: 16 + -2 = 14
-9x = 14

Divide each side by '-9'.
x = -1.555555556

Simplifying
x = -1.555555556

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