Solve 3-(8x-5)+(6-7x)+3=7x-(5x+9-3)

$$3 - ( 8 x - 5 ) + ( 6 - 7 x ) + 3 = 7 x - ( 5 x + 9 - 3 )$$

Solve for x

$$x = \frac{23}{17} = 1\frac{6}{17} \approx 1.352941176$$

Steps for Solving Linear Equation

To find the opposite of 8x-5, find the opposite of each term.

$$3-8x-\left(-5\right)+6-7x+3=7x-\left(5x+9-3\right)$$

The opposite of -5 is 5.

$$3-8x+5+6-7x+3=7x-\left(5x+9-3\right)$$

Add 3 and 5 to get 8.

$$8-8x+6-7x+3=7x-\left(5x+9-3\right)$$

Add 8 and 6 to get 14.

$$14-8x-7x+3=7x-\left(5x+9-3\right)$$

Combine -8x and -7x to get -15x.

$$14-15x+3=7x-\left(5x+9-3\right)$$

Add 14 and 3 to get 17.

$$17-15x=7x-\left(5x+9-3\right)$$

Subtract 3 from 9 to get 6.

$$17-15x=7x-\left(5x+6\right)$$

To find the opposite of 5x+6, find the opposite of each term.

$$17-15x=7x-5x-6$$

Combine 7x and -5x to get 2x.

$$17-15x=2x-6$$

Subtract 2x from both sides.

$$17-15x-2x=-6$$

Combine -15x and -2x to get -17x.

$$17-17x=-6$$

Subtract 17 from both sides.

$$-17x=-6-17$$

Subtract 17 from -6 to get -23.

$$-17x=-23$$

Divide both sides by -17.

$$x=\frac{-23}{-17}$$

Fraction \frac{-23}{-17} can be simplified to \frac{23}{17} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{23}{17}$$