Solve -(3x-4)-10(x/5-1)

$$- ( 3 x - 4 ) - 10 ( \frac { x } { 5 } - 1 )$$

Evaluate

$$14-5x$$

Solution Steps

To find the opposite of 3x-4, find the opposite of each term.

$$-3x-\left(-4\right)-10\left(\frac{x}{5}-1\right)$$

The opposite of -4 is 4.

$$-3x+4-10\left(\frac{x}{5}-1\right)$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{5}{5}.

$$-3x+4-10\left(\frac{x}{5}-\frac{5}{5}\right)$$

Since \frac{x}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$-3x+4-10\times \frac{x-5}{5}$$

Cancel out 5, the greatest common factor in 10 and 5.

$$-3x+4-2\left(x-5\right)$$

Use the distributive property to multiply -2 by x-5.

$$-3x+4-2x+10$$

Combine -3x and -2x to get -5x.

$$-5x+4+10$$

Add 4 and 10 to get 14.

$$-5x+14$$

Expand

$$14-5x$$

Solution Steps

To find the opposite of 3x-4, find the opposite of each term.

$$-3x-\left(-4\right)-10\left(\frac{x}{5}-1\right)$$

The opposite of -4 is 4.

$$-3x+4-10\left(\frac{x}{5}-1\right)$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{5}{5}.

$$-3x+4-10\left(\frac{x}{5}-\frac{5}{5}\right)$$

Since \frac{x}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$-3x+4-10\times \frac{x-5}{5}$$

Cancel out 5, the greatest common factor in 10 and 5.

$$-3x+4-2\left(x-5\right)$$

Use the distributive property to multiply -2 by x-5.

$$-3x+4-2x+10$$

Combine -3x and -2x to get -5x.

$$-5x+4+10$$

Add 4 and 10 to get 14.

$$-5x+14$$