Solve for b 4a=2b-7

$4 a = 2 b - 7$

Rewrite the equation as $2 b - 7 = 4 a$ .

$2 b - 7 = 4 a$

Add $7$ to both sides of the equation.

$2 b = 4 a + 7$

Divide each term in $2 b = 4 a + 7$ by $2$ and simplify.

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Divide each term in $2 b = 4 a + 7$ by $2$ .

$\frac{2 b}{2} = \frac{4 a}{2} + \frac{7}{2}$

Simplify the left side.

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Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2 b}{2} = \frac{4 a}{2} + \frac{7}{2}$

Divide $b$ by $1$ .

$b = \frac{4 a}{2} + \frac{7}{2}$

$b = \frac{4 a}{2} + \frac{7}{2}$

$b = \frac{4 a}{2} + \frac{7}{2}$

Simplify the right side.

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

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Factor $2$ out of $4 a$ .

$b = \frac{2 (2 a)}{2} + \frac{7}{2}$

Cancel the common factors.

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Factor $2$ out of $2$ .

$b = \frac{2 (2 a)}{2 (1)} + \frac{7}{2}$

Cancel the common factor.

$b = \frac{2 (2 a)}{2 \cdot 1} + \frac{7}{2}$

Rewrite the expression.

$b = \frac{2 a}{1} + \frac{7}{2}$

Divide $2 a$ by $1$ .

$b = 2 a + \frac{7}{2}$

$b = 2 a + \frac{7}{2}$

$b = 2 a + \frac{7}{2}$

$b = 2 a + \frac{7}{2}$

$b = 2 a + \frac{7}{2}$