11(x+2)-4(x-3)=3(x-1)+3(x-3)

Solution for 11(x+2)-4(x-3)=3(x-1)+3(x-3) equation:

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

Reorder the terms:
11(2 + x) + -4(x + -3) = 3(x + -1) + 3(x + -3)
(2 * 11 + x * 11) + -4(x + -3) = 3(x + -1) + 3(x + -3)
(22 + 11x) + -4(x + -3) = 3(x + -1) + 3(x + -3)

Reorder the terms:
22 + 11x + -4(-3 + x) = 3(x + -1) + 3(x + -3)
22 + 11x + (-3 * -4 + x * -4) = 3(x + -1) + 3(x + -3)
22 + 11x + (12 + -4x) = 3(x + -1) + 3(x + -3)

Reorder the terms:
22 + 12 + 11x + -4x = 3(x + -1) + 3(x + -3)

Combine like terms: 22 + 12 = 34
34 + 11x + -4x = 3(x + -1) + 3(x + -3)

Combine like terms: 11x + -4x = 7x
34 + 7x = 3(x + -1) + 3(x + -3)

Reorder the terms:
34 + 7x = 3(-1 + x) + 3(x + -3)
34 + 7x = (-1 * 3 + x * 3) + 3(x + -3)
34 + 7x = (-3 + 3x) + 3(x + -3)

Reorder the terms:
34 + 7x = -3 + 3x + 3(-3 + x)
34 + 7x = -3 + 3x + (-3 * 3 + x * 3)
34 + 7x = -3 + 3x + (-9 + 3x)

Reorder the terms:
34 + 7x = -3 + -9 + 3x + 3x

Combine like terms: -3 + -9 = -12
34 + 7x = -12 + 3x + 3x

Combine like terms: 3x + 3x = 6x
34 + 7x = -12 + 6x

Solving
34 + 7x = -12 + 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.
34 + 7x + -6x = -12 + 6x + -6x

Combine like terms: 7x + -6x = 1x
34 + 1x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
34 + 1x = -12 + 0
34 + 1x = -12

Add '-34' to each side of the equation.
34 + -34 + 1x = -12 + -34

Combine like terms: 34 + -34 = 0
0 + 1x = -12 + -34
1x = -12 + -34

Combine like terms: -12 + -34 = -46
1x = -46

Divide each side by '1'.
x = -46

Simplifying
x = -46