5+3(3x+4)=4(3x+2)

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Solution for 5+3(3x+4)=4(3x+2) equation:


Simplifying
5 + 3(3x + 4) = 4(3x + 2)

Reorder the terms:
5 + 3(4 + 3x) = 4(3x + 2)
5 + (4 * 3 + 3x * 3) = 4(3x + 2)
5 + (12 + 9x) = 4(3x + 2)

Combine like terms: 5 + 12 = 17
17 + 9x = 4(3x + 2)

Reorder the terms:
17 + 9x = 4(2 + 3x)
17 + 9x = (2 * 4 + 3x * 4)
17 + 9x = (8 + 12x)

Solving
17 + 9x = 8 + 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.
17 + 9x + -12x = 8 + 12x + -12x

Combine like terms: 9x + -12x = -3x
17 + -3x = 8 + 12x + -12x

Combine like terms: 12x + -12x = 0
17 + -3x = 8 + 0
17 + -3x = 8

Add '-17' to each side of the equation.
17 + -17 + -3x = 8 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = 8 + -17
-3x = 8 + -17

Combine like terms: 8 + -17 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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