11(x-2)=-3(x-7)+3(5x+9)

Solution for 11(x-2)=-3(x-7)+3(5x+9) equation:

Simplifying
11(x + -2) = -3(x + -7) + 3(5x + 9)

Reorder the terms:
11(-2 + x) = -3(x + -7) + 3(5x + 9)
(-2 * 11 + x * 11) = -3(x + -7) + 3(5x + 9)
(-22 + 11x) = -3(x + -7) + 3(5x + 9)

Reorder the terms:
-22 + 11x = -3(-7 + x) + 3(5x + 9)
-22 + 11x = (-7 * -3 + x * -3) + 3(5x + 9)
-22 + 11x = (21 + -3x) + 3(5x + 9)

Reorder the terms:
-22 + 11x = 21 + -3x + 3(9 + 5x)
-22 + 11x = 21 + -3x + (9 * 3 + 5x * 3)
-22 + 11x = 21 + -3x + (27 + 15x)

Reorder the terms:
-22 + 11x = 21 + 27 + -3x + 15x

Combine like terms: 21 + 27 = 48
-22 + 11x = 48 + -3x + 15x

Combine like terms: -3x + 15x = 12x
-22 + 11x = 48 + 12x

Solving
-22 + 11x = 48 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-22 + 11x + -12x = 48 + 12x + -12x

Combine like terms: 11x + -12x = -1x
-22 + -1x = 48 + 12x + -12x

Combine like terms: 12x + -12x = 0
-22 + -1x = 48 + 0
-22 + -1x = 48

Add '22' to each side of the equation.
-22 + 22 + -1x = 48 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 48 + 22
-1x = 48 + 22

Combine like terms: 48 + 22 = 70
-1x = 70

Divide each side by '-1'.
x = -70

Simplifying
x = -70