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

Solution for 7+(3x-1)=3(1-2x) equation:

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

Reorder the terms:
7 + (-1 + 3x) = 3(1 + -2x)

Remove parenthesis around (-1 + 3x)
7 + -1 + 3x = 3(1 + -2x)

Combine like terms: 7 + -1 = 6
6 + 3x = 3(1 + -2x)
6 + 3x = (1 * 3 + -2x * 3)
6 + 3x = (3 + -6x)

Solving
6 + 3x = 3 + -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.
6 + 3x + 6x = 3 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
6 + 9x = 3 + 0
6 + 9x = 3

Add '-6' to each side of the equation.
6 + -6 + 9x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 3 + -6
9x = 3 + -6

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

Divide each side by '9'.
x = -0.3333333333

Simplifying
x = -0.3333333333