21(5)-7x=3(3(x+1))

Solution for 21(5)-7x=3(3(x+1)) equation:

Simplifying
21(5) + -7x = 3(3(x + 1))

Multiply 21 * 5
105 + -7x = 3(3(x + 1))

Reorder the terms:
105 + -7x = 3(3(1 + x))
105 + -7x = 3((1 * 3 + x * 3))
105 + -7x = 3((3 + 3x))
105 + -7x = (3 * 3 + 3x * 3)
105 + -7x = (9 + 9x)

Solving
105 + -7x = 9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
105 + -7x + -9x = 9 + 9x + -9x

Combine like terms: -7x + -9x = -16x
105 + -16x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0
105 + -16x = 9 + 0
105 + -16x = 9

Add '-105' to each side of the equation.
105 + -105 + -16x = 9 + -105

Combine like terms: 105 + -105 = 0
0 + -16x = 9 + -105
-16x = 9 + -105

Combine like terms: 9 + -105 = -96
-16x = -96

Divide each side by '-16'.
x = 6

Simplifying
x = 6