3(2x+1)-4=6+3(3x+4)

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Solution for 3(2x+1)-4=6+3(3x+4) equation:


Simplifying
3(2x + 1) + -4 = 6 + 3(3x + 4)

Reorder the terms:
3(1 + 2x) + -4 = 6 + 3(3x + 4)
(1 * 3 + 2x * 3) + -4 = 6 + 3(3x + 4)
(3 + 6x) + -4 = 6 + 3(3x + 4)

Reorder the terms:
3 + -4 + 6x = 6 + 3(3x + 4)

Combine like terms: 3 + -4 = -1
-1 + 6x = 6 + 3(3x + 4)

Reorder the terms:
-1 + 6x = 6 + 3(4 + 3x)
-1 + 6x = 6 + (4 * 3 + 3x * 3)
-1 + 6x = 6 + (12 + 9x)

Combine like terms: 6 + 12 = 18
-1 + 6x = 18 + 9x

Solving
-1 + 6x = 18 + 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.
-1 + 6x + -9x = 18 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-1 + -3x = 18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-1 + -3x = 18 + 0
-1 + -3x = 18

Add '1' to each side of the equation.
-1 + 1 + -3x = 18 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 18 + 1
-3x = 18 + 1

Combine like terms: 18 + 1 = 19
-3x = 19

Divide each side by '-3'.
x = -6.333333333

Simplifying
x = -6.333333333

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