11(x+2)-410=2(2x-4)+89

Solution for 11(x+2)-410=2(2x-4)+89 equation:

Simplifying
11(x + 2) + -410 = 2(2x + -4) + 89

Reorder the terms:
11(2 + x) + -410 = 2(2x + -4) + 89
(2 * 11 + x * 11) + -410 = 2(2x + -4) + 89
(22 + 11x) + -410 = 2(2x + -4) + 89

Reorder the terms:
22 + -410 + 11x = 2(2x + -4) + 89

Combine like terms: 22 + -410 = -388
-388 + 11x = 2(2x + -4) + 89

Reorder the terms:
-388 + 11x = 2(-4 + 2x) + 89
-388 + 11x = (-4 * 2 + 2x * 2) + 89
-388 + 11x = (-8 + 4x) + 89

Reorder the terms:
-388 + 11x = -8 + 89 + 4x

Combine like terms: -8 + 89 = 81
-388 + 11x = 81 + 4x

Solving
-388 + 11x = 81 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-388 + 11x + -4x = 81 + 4x + -4x

Combine like terms: 11x + -4x = 7x
-388 + 7x = 81 + 4x + -4x

Combine like terms: 4x + -4x = 0
-388 + 7x = 81 + 0
-388 + 7x = 81

Add '388' to each side of the equation.
-388 + 388 + 7x = 81 + 388

Combine like terms: -388 + 388 = 0
0 + 7x = 81 + 388
7x = 81 + 388

Combine like terms: 81 + 388 = 469
7x = 469

Divide each side by '7'.
x = 67

Simplifying
x = 67