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