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

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

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

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

Combine like terms: 6 + -3 = 3
3 + 6x = 5 + 2(x + -3) + 6x

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

Combine like terms: 5 + -6 = -1
3 + 6x = -1 + 2x + 6x

Combine like terms: 2x + 6x = 8x
3 + 6x = -1 + 8x

Solving
3 + 6x = -1 + 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 + 6x + -8x = -1 + 8x + -8x

Combine like terms: 6x + -8x = -2x
3 + -2x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -2x = -1 + 0
3 + -2x = -1

Add '-3' to each side of the equation.
3 + -3 + -2x = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -1 + -3
-2x = -1 + -3

Combine like terms: -1 + -3 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2