105-7x=3(3x+1)

Solution for 105-7x=3(3x+1) equation:

Simplifying
105 + -7x = 3(3x + 1)

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

Solving
105 + -7x = 3 + 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 = 3 + 9x + -9x

Combine like terms: -7x + -9x = -16x
105 + -16x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
105 + -16x = 3 + 0
105 + -16x = 3

Add '-105' to each side of the equation.
105 + -105 + -16x = 3 + -105

Combine like terms: 105 + -105 = 0
0 + -16x = 3 + -105
-16x = 3 + -105

Combine like terms: 3 + -105 = -102
-16x = -102

Divide each side by '-16'.
x = 6.375

Simplifying
x = 6.375