Solve for x ax+t=2b

$a x + t = 2 b$

Step 1

Subtract $t$ from both sides of the equation.

$a x = 2 b - t$

Step 2

Divide each term in $a x = 2 b - t$ by $a$ and simplify.

Divide each term in $a x = 2 b - t$ by $a$ .

$\frac{a x}{a} = \frac{2 b}{a} + \frac{- t}{a}$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a x}{a} = \frac{2 b}{a} + \frac{- t}{a}$

Divide $x$ by $1$ .

$x = \frac{2 b}{a} + \frac{- t}{a}$

Simplify the right side.

Move the negative in front of the fraction.

$x = \frac{2 b}{a} - \frac{t}{a}$