Solve -10-19x=2-[3-5(4x-7)+3(6x-11)]-(x-5)

$$- 10 - 19 x = 2 - [ 3 - 5 ( 4 x - 7 ) + 3 ( 6 x - 11 ) ] - ( x - 5 )$$

Solve for x

$$x=-\frac{3}{5}=-0.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 4x-7.

$$-10-19x=2-\left(3-20x+35+3\left(6x-11\right)\right)-\left(x-5\right)$$

Add 3 and 35 to get 38.

$$-10-19x=2-\left(38-20x+3\left(6x-11\right)\right)-\left(x-5\right)$$

Use the distributive property to multiply 3 by 6x-11.

$$-10-19x=2-\left(38-20x+18x-33\right)-\left(x-5\right)$$

Combine -20x and 18x to get -2x.

$$-10-19x=2-\left(38-2x-33\right)-\left(x-5\right)$$

Subtract 33 from 38 to get 5.

$$-10-19x=2-\left(5-2x\right)-\left(x-5\right)$$

To find the opposite of 5-2x, find the opposite of each term.

$$-10-19x=2-5-\left(-2x\right)-\left(x-5\right)$$

The opposite of -2x is 2x.

$$-10-19x=2-5+2x-\left(x-5\right)$$

Subtract 5 from 2 to get -3.

$$-10-19x=-3+2x-\left(x-5\right)$$

To find the opposite of x-5, find the opposite of each term.

$$-10-19x=-3+2x-x-\left(-5\right)$$

The opposite of -5 is 5.

$$-10-19x=-3+2x-x+5$$

Combine 2x and -x to get x.

$$-10-19x=-3+x+5$$

Add -3 and 5 to get 2.

$$-10-19x=2+x$$

Subtract x from both sides.

$$-10-19x-x=2$$

Combine -19x and -x to get -20x.

$$-10-20x=2$$

Add 10 to both sides.

$$-20x=2+10$$

Add 2 and 10 to get 12.

$$-20x=12$$

Divide both sides by -20.

$$x=\frac{12}{-20}$$

Reduce the fraction \frac{12}{-20} to lowest terms by extracting and canceling out 4.

$$x=-\frac{3}{5}$$