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

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

Simplifying
6 + -3x = 4(3 + -1x) * 6

Reorder the terms for easier multiplication:
6 + -3x = 4 * 6(3 + -1x)

Multiply 4 * 6
6 + -3x = 24(3 + -1x)
6 + -3x = (3 * 24 + -1x * 24)
6 + -3x = (72 + -24x)

Solving
6 + -3x = 72 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
6 + -3x + 24x = 72 + -24x + 24x

Combine like terms: -3x + 24x = 21x
6 + 21x = 72 + -24x + 24x

Combine like terms: -24x + 24x = 0
6 + 21x = 72 + 0
6 + 21x = 72

Add '-6' to each side of the equation.
6 + -6 + 21x = 72 + -6

Combine like terms: 6 + -6 = 0
0 + 21x = 72 + -6
21x = 72 + -6

Combine like terms: 72 + -6 = 66
21x = 66

Divide each side by '21'.
x = 3.142857143

Simplifying
x = 3.142857143