Solve 2(6a + 12b) - 3(7a - 11b) | 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

$$2(6a+12b)-3(7a-11b)$$

Evaluate

$57b-9a$

Solution Steps

Use the distributive property to multiply $2$ by $6a+12b$.

$$12a+24b-3\left(7a-11b\right)$$

Use the distributive property to multiply $-3$ by $7a-11b$.

$$12a+24b-21a+33b$$

Combine $12a$ and $-21a$ to get $-9a$.

$$-9a+24b+33b$$

Combine $24b$ and $33b$ to get $57b$.

$$-9a+57b$$

Expand

$57b-9a$

Solution Steps

Use the distributive property to multiply $2$ by $6a+12b$.

$$12a+24b-3\left(7a-11b\right)$$

Use the distributive property to multiply $-3$ by $7a-11b$.

$$12a+24b-21a+33b$$

Combine $12a$ and $-21a$ to get $-9a$.

$$-9a+24b+33b$$

Combine $24b$ and $33b$ to get $57b$.

$$-9a+57b$$