x[x+(6-x)]=3(3+4)

Solution for x[x+(6-x)]=3(3+4) equation:

Simplifying
x[x + (6 + -1x)] = 3(3 + 4)

Remove parenthesis around (6 + -1x)
x[x + 6 + -1x] = 3(3 + 4)

Reorder the terms:
x[6 + x + -1x] = 3(3 + 4)

Combine like terms: x + -1x = 0
x[6 + 0] = 3(3 + 4)
x[6] = 3(3 + 4)

Reorder the terms for easier multiplication:
6x = 3(3 + 4)

Combine like terms: 3 + 4 = 7
6x = 3(7)

Multiply 3 * 7
6x = 21

Solving
6x = 21

Solving for variable 'x'.

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

Divide each side by '6'.
x = 3.5

Simplifying
x = 3.5