Solve 5x+{-2x+(-x+6)}=18-{-(7x+6)-(3x-24)}

$$5 x + \{ - 2 x + ( - x + 6 ) \} = 18 - \{ - ( 7 x + 6 ) - ( 3 x - 24 ) \}$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

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

$$3x-x+6=18-\left(-\left(7x+6\right)-\left(3x-24\right)\right)$$

To find the opposite of 7x+6, find the opposite of each term.

$$3x-x+6=18-\left(-7x-6-\left(3x-24\right)\right)$$

To find the opposite of 3x-24, find the opposite of each term.

$$3x-x+6=18-\left(-7x-6-3x-\left(-24\right)\right)$$

The opposite of -24 is 24.

$$3x-x+6=18-\left(-7x-6-3x+24\right)$$

Combine -7x and -3x to get -10x.

$$3x-x+6=18-\left(-10x-6+24\right)$$

Add -6 and 24 to get 18.

$$3x-x+6=18-\left(-10x+18\right)$$

To find the opposite of -10x+18, find the opposite of each term.

$$3x-x+6=18-\left(-10x\right)-18$$

The opposite of -10x is 10x.

$$3x-x+6=18+10x-18$$

Subtract 18 from 18 to get 0.

$$3x-x+6=10x$$

Subtract 10x from both sides.

$$3x-x+6-10x=0$$

Combine 3x and -10x to get -7x.

$$-7x-x+6=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$-7x-x=-6$$

Combine -7x and -x to get -8x.

$$-8x=-6$$

Divide both sides by -8.

$$x=\frac{-6}{-8}$$

Reduce the fraction \frac{-6}{-8} to lowest terms by extracting and canceling out -2.

$$x=\frac{3}{4}$$