7(x-1)+3(3-x)=5(1-x)-3(2x+1)

Solution for 7(x-1)+3(3-x)=5(1-x)-3(2x+1) equation:

Simplifying
7(x + -1) + 3(3 + -1x) = 5(1 + -1x) + -3(2x + 1)

Reorder the terms:
7(-1 + x) + 3(3 + -1x) = 5(1 + -1x) + -3(2x + 1)
(-1 * 7 + x * 7) + 3(3 + -1x) = 5(1 + -1x) + -3(2x + 1)
(-7 + 7x) + 3(3 + -1x) = 5(1 + -1x) + -3(2x + 1)
-7 + 7x + (3 * 3 + -1x * 3) = 5(1 + -1x) + -3(2x + 1)
-7 + 7x + (9 + -3x) = 5(1 + -1x) + -3(2x + 1)

Reorder the terms:
-7 + 9 + 7x + -3x = 5(1 + -1x) + -3(2x + 1)

Combine like terms: -7 + 9 = 2
2 + 7x + -3x = 5(1 + -1x) + -3(2x + 1)

Combine like terms: 7x + -3x = 4x
2 + 4x = 5(1 + -1x) + -3(2x + 1)
2 + 4x = (1 * 5 + -1x * 5) + -3(2x + 1)
2 + 4x = (5 + -5x) + -3(2x + 1)

Reorder the terms:
2 + 4x = 5 + -5x + -3(1 + 2x)
2 + 4x = 5 + -5x + (1 * -3 + 2x * -3)
2 + 4x = 5 + -5x + (-3 + -6x)

Reorder the terms:
2 + 4x = 5 + -3 + -5x + -6x

Combine like terms: 5 + -3 = 2
2 + 4x = 2 + -5x + -6x

Combine like terms: -5x + -6x = -11x
2 + 4x = 2 + -11x

Add '-2' to each side of the equation.
2 + -2 + 4x = 2 + -2 + -11x

Combine like terms: 2 + -2 = 0
0 + 4x = 2 + -2 + -11x
4x = 2 + -2 + -11x

Combine like terms: 2 + -2 = 0
4x = 0 + -11x
4x = -11x

Solving
4x = -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
4x + 11x = -11x + 11x

Combine like terms: 4x + 11x = 15x
15x = -11x + 11x

Combine like terms: -11x + 11x = 0
15x = 0

Divide each side by '15'.
x = 0

Simplifying
x = 0