Solve ( ) (2b)/3 - (3b)/8 = 7/12 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac { 2 b } { 3 } - \frac { 3 b } { 8 } = \frac { 7 } { 12 }$$

Solve for b

$b=2$

Steps for Solving Linear Equation

Multiply both sides of the equation by $24$, the least common multiple of $3,8,12$.

$$8\times 2b-3\times 3b=14$$

Multiply $8$ and $2$ to get $16$.

$$16b-3\times 3b=14$$

Multiply $-3$ and $3$ to get $-9$.

$$16b-9b=14$$

Combine $16b$ and $-9b$ to get $7b$.

$$7b=14$$

Divide both sides by $7$.

$$b=\frac{14}{7}$$

Divide $14$ by $7$ to get $2$.

$$b=2$$