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

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

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

Combine like terms: 2x + x = 3x
3x(3x) + -11 = 7

Remove parenthesis around (3x)
3x * 3x + -11 = 7

Reorder the terms for easier multiplication:
3 * 3x * x + -11 = 7

Multiply 3 * 3
9x * x + -11 = 7

Multiply x * x
9x2 + -11 = 7

Reorder the terms:
-11 + 9x2 = 7

Solving
-11 + 9x2 = 7

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 9x2 = 7 + 11

Combine like terms: -11 + 11 = 0
0 + 9x2 = 7 + 11
9x2 = 7 + 11

Combine like terms: 7 + 11 = 18
9x2 = 18

Divide each side by '9'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}