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

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

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

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

Reorder the terms:
6 + 2x = 12 + 4x + -3(-3 + x)
6 + 2x = 12 + 4x + (-3 * -3 + x * -3)
6 + 2x = 12 + 4x + (9 + -3x)

Reorder the terms:
6 + 2x = 12 + 9 + 4x + -3x

Combine like terms: 12 + 9 = 21
6 + 2x = 21 + 4x + -3x

Combine like terms: 4x + -3x = 1x
6 + 2x = 21 + 1x

Solving
6 + 2x = 21 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 2x + -1x = 21 + 1x + -1x

Combine like terms: 2x + -1x = 1x
6 + 1x = 21 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 1x = 21 + 0
6 + 1x = 21

Add '-6' to each side of the equation.
6 + -6 + 1x = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 21 + -6
1x = 21 + -6

Combine like terms: 21 + -6 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15