3(4x-1)+5x=6+4(3+2x)

Solution for 3(4x-1)+5x=6+4(3+2x) equation:

Simplifying
3(4x + -1) + 5x = 6 + 4(3 + 2x)

Reorder the terms:
3(-1 + 4x) + 5x = 6 + 4(3 + 2x)
(-1 * 3 + 4x * 3) + 5x = 6 + 4(3 + 2x)
(-3 + 12x) + 5x = 6 + 4(3 + 2x)

Combine like terms: 12x + 5x = 17x
-3 + 17x = 6 + 4(3 + 2x)
-3 + 17x = 6 + (3 * 4 + 2x * 4)
-3 + 17x = 6 + (12 + 8x)

Combine like terms: 6 + 12 = 18
-3 + 17x = 18 + 8x

Solving
-3 + 17x = 18 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + 17x + -8x = 18 + 8x + -8x

Combine like terms: 17x + -8x = 9x
-3 + 9x = 18 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + 9x = 18 + 0
-3 + 9x = 18

Add '3' to each side of the equation.
-3 + 3 + 9x = 18 + 3

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

Combine like terms: 18 + 3 = 21
9x = 21

Divide each side by '9'.
x = 2.333333333

Simplifying
x = 2.333333333