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

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

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

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

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

Combine like terms: 6x + -2x = 4x
6 + 3x = 5 + 4x

Solving
6 + 3x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 3x + -4x = 5 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 5 + 0
6 + -1x = 5

Add '-6' to each side of the equation.
6 + -6 + -1x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 5 + -6
-1x = 5 + -6

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1