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

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

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

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

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

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

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

Reorder the terms:
3 + 3x = -6 + 2x + 4x

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

Solving
3 + 3x = -6 + 6x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -6x = -3x
3 + -3x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -3x = -6 + 0
3 + -3x = -6

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

Combine like terms: 3 + -3 = 0
0 + -3x = -6 + -3
-3x = -6 + -3

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

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

Simplifying
x = 3