6-3(4x-2x)=7(x-3)

Solution for 6-3(4x-2x)=7(x-3) equation:

Simplifying
6 + -3(4x + -2x) = 7(x + -3)

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

Remove parenthesis around (2x)
6 + -3 * 2x = 7(x + -3)

Multiply -3 * 2
6 + -6x = 7(x + -3)

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

Solving
6 + -6x = -21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + -6x + -7x = -21 + 7x + -7x

Combine like terms: -6x + -7x = -13x
6 + -13x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -13x = -21 + 0
6 + -13x = -21

Add '-6' to each side of the equation.
6 + -6 + -13x = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = -21 + -6
-13x = -21 + -6

Combine like terms: -21 + -6 = -27
-13x = -27

Divide each side by '-13'.
x = 2.076923077

Simplifying
x = 2.076923077