Solve (17(2-x)-5(x+12))/(1-7x) | 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

$$\frac{ 17(2-x)-5(x+12) }{ 1-7x }$$

Evaluate

$-\frac{2\left(11x+13\right)}{1-7x}$

Short Solution Steps

Use the distributive property to multiply $17$ by $2-x$.

$$\frac{34-17x-5\left(x+12\right)}{1-7x}$$

Use the distributive property to multiply $-5$ by $x+12$.

$$\frac{34-17x-5x-60}{1-7x}$$

Combine $-17x$ and $-5x$ to get $-22x$.

$$\frac{34-22x-60}{1-7x}$$

Subtract $60$ from $34$ to get $-26$.

$$\frac{-26-22x}{1-7x}$$

Expand

$-\frac{2\left(11x+13\right)}{1-7x}$

Short Solution Steps

Use the distributive property to multiply $17$ by $2-x$.

$$\frac{34-17x-5\left(x+12\right)}{1-7x}$$

Use the distributive property to multiply $-5$ by $x+12$.

$$\frac{34-17x-5x-60}{1-7x}$$

Combine $-17x$ and $-5x$ to get $-22x$.

$$\frac{34-22x-60}{1-7x}$$

Subtract $60$ from $34$ to get $-26$.

$$\frac{-26-22x}{1-7x}$$