Solve for x x/a+b=c

$\frac{x}{a} + b = c$

Step 1

Subtract $b$ from both sides of the equation.

$\frac{x}{a} = c - b$

Step 2

Multiply both sides by $a$ .

$\frac{x}{a} a = (c - b) a$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{x}{a} a = (c - b) a$

Rewrite the expression.

$x = (c - b) a$

$x = (c - b) a$

$x = (c - b) a$

Simplify the right side.

Simplify $(c - b) a$ .

Apply the distributive property.

$x = c a - b a$

Simplify the expression.

Reorder $c$ and $a$ .

$x = a c - b a$

Move $b$ .

$x = a c - 1 a b$

Reorder $a c$ and $- 1 a b$ .

$x = - 1 a b + a c$

$x = - 1 a b + a c$

$x = - 1 a b + a c$

$x = - 1 a b + a c$

$x = - 1 a b + a c$

Step 4

Rewrite $- 1 a$ as $- a$ .

$x = - a b + a c$

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