Solve for a 4b=2a-t

$4 b = 2 a - t$

Step 1

Rewrite the equation as $2 a - t = 4 b$ .

$2 a - t = 4 b$

Step 2

Add $t$ to both sides of the equation.

$2 a = 4 b + t$

Step 3

Divide each term in $2 a = 4 b + t$ by $2$ and simplify.

Divide each term in $2 a = 4 b + t$ by $2$ .

$\frac{2 a}{2} = \frac{4 b}{2} + \frac{t}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 a}{2} = \frac{4 b}{2} + \frac{t}{2}$

Divide $a$ by $1$ .

$a = \frac{4 b}{2} + \frac{t}{2}$

$a = \frac{4 b}{2} + \frac{t}{2}$

$a = \frac{4 b}{2} + \frac{t}{2}$

Simplify the right side.

Cancel the common factor of $4$ and $2$ .

Factor $2$ out of $4 b$ .

$a = \frac{2 (2 b)}{2} + \frac{t}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$a = \frac{2 (2 b)}{2 (1)} + \frac{t}{2}$

Cancel the common factor.

$a = \frac{2 (2 b)}{2 \cdot 1} + \frac{t}{2}$

Rewrite the expression.

$a = \frac{2 b}{1} + \frac{t}{2}$

Divide $2 b$ by $1$ .

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

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

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

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

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

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