Solve -[-4+5*(-2)-12/3*(-9/4)-1]+8=

$$- [ - 4 + 5 \cdot ( - 2 ) - \frac { 12 } { 3 } \cdot ( \frac { - 9 } { 4 } ) - 1 ] + 8 =$$

Evaluate

$$14$$

Solution Steps

Multiply 5 and -2 to get -10.

$$-\left(-4-10-\frac{12}{3}\times \frac{-9}{4}-1\right)+8$$

Subtract 10 from -4 to get -14.

$$-\left(-14-\frac{12}{3}\times \frac{-9}{4}-1\right)+8$$

Divide 12 by 3 to get 4.

$$-\left(-14-4\times \frac{-9}{4}-1\right)+8$$

Fraction \frac{-9}{4} can be rewritten as -\frac{9}{4} by extracting the negative sign.

$$-\left(-14-4\left(-\frac{9}{4}\right)-1\right)+8$$

Cancel out 4 and 4.

$$-\left(-14-\left(-9\right)-1\right)+8$$

The opposite of -9 is 9.

$$-\left(-14+9-1\right)+8$$

Add -14 and 9 to get -5.

$$-\left(-5-1\right)+8$$

Subtract 1 from -5 to get -6.

$$-\left(-6\right)+8$$

The opposite of -6 is 6.

$$6+8$$

Add 6 and 8 to get 14.

$$14$$

Factor

$$2\times 7$$