Ax+b=3 (x-a) solve for x

Apply the distributive property.

ax+b=3 (x) + 3 (-a)

Multiply 3 by x to get 3x.

ax+b=3x+3 (-a)

Move - 1.

ax+b=-1⋅3a

Multiply - 1 by 3 to get - 3.

ax+b=-3a

Replace back in to larger expression.

ax+b=3x-3a

Since 3x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 3x from both sides.

ax+b-3x=-3a

Factor out the GCF of x from each term in the polynomial.

x (a) + x (-3) = - b-3a

Factor out the GCF of x from ax-3x.

x (a-3) = - b-3a

Divide each term in the equation by (a-3).

x=-3a+b/a-3

Answer:

x=-3a+b/a-3

Ax + b = 3x - 3a

Ax - 3x = - (3a+b)

x (A-3) = - (3a+b)

x = - (3a+b) / (A-3)