4(x+3)-2(3-x)=3(x+7)

Solution for 4(x+3)-2(3-x)=3(x+7) equation:

Simplifying
4(x + 3) + -2(3 + -1x) = 3(x + 7)

Reorder the terms:
4(3 + x) + -2(3 + -1x) = 3(x + 7)
(3 * 4 + x * 4) + -2(3 + -1x) = 3(x + 7)
(12 + 4x) + -2(3 + -1x) = 3(x + 7)
12 + 4x + (3 * -2 + -1x * -2) = 3(x + 7)
12 + 4x + (-6 + 2x) = 3(x + 7)

Reorder the terms:
12 + -6 + 4x + 2x = 3(x + 7)

Combine like terms: 12 + -6 = 6
6 + 4x + 2x = 3(x + 7)

Combine like terms: 4x + 2x = 6x
6 + 6x = 3(x + 7)

Reorder the terms:
6 + 6x = 3(7 + x)
6 + 6x = (7 * 3 + x * 3)
6 + 6x = (21 + 3x)

Solving
6 + 6x = 21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 6x + -3x = 21 + 3x + -3x

Combine like terms: 6x + -3x = 3x
6 + 3x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 3x = 21 + 0
6 + 3x = 21

Add '-6' to each side of the equation.
6 + -6 + 3x = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 21 + -6
3x = 21 + -6

Combine like terms: 21 + -6 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5