Solve 3-(14-x)+5x=-(x-48)

$$3 - ( 14 - x ) + 5 x = - ( x - 48 )$$

Solve for x

$$x = \frac{59}{7} = 8\frac{3}{7} \approx 8.428571429$$

Steps for Solving Linear Equation

To find the opposite of 14-x, find the opposite of each term.

$$3-14-\left(-x\right)+5x=-\left(x-48\right)$$

The opposite of -x is x.

$$3-14+x+5x=-\left(x-48\right)$$

Subtract 14 from 3 to get -11.

$$-11+x+5x=-\left(x-48\right)$$

Combine x and 5x to get 6x.

$$-11+6x=-\left(x-48\right)$$

To find the opposite of x-48, find the opposite of each term.

$$-11+6x=-x-\left(-48\right)$$

The opposite of -48 is 48.

$$-11+6x=-x+48$$

Add x to both sides.

$$-11+6x+x=48$$

Combine 6x and x to get 7x.

$$-11+7x=48$$

Add 11 to both sides.

$$7x=48+11$$

Add 48 and 11 to get 59.

$$7x=59$$

Divide both sides by 7.

$$x=\frac{59}{7}$$