Solve 5(3x-7)+2(9-2x)=8x-(2x+1)

$$5 ( 3 x - 7 ) + 2 ( 9 - 2 x ) = 8 x - ( 2 x + 1 )$$

Solve for x

$$x = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 3x-7.

$$15x-35+2\left(9-2x\right)=8x-\left(2x+1\right)$$

Use the distributive property to multiply 2 by 9-2x.

$$15x-35+18-4x=8x-\left(2x+1\right)$$

Add -35 and 18 to get -17.

$$15x-17-4x=8x-\left(2x+1\right)$$

Combine 15x and -4x to get 11x.

$$11x-17=8x-\left(2x+1\right)$$

To find the opposite of 2x+1, find the opposite of each term.

$$11x-17=8x-2x-1$$

Combine 8x and -2x to get 6x.

$$11x-17=6x-1$$

Subtract 6x from both sides.

$$11x-17-6x=-1$$

Combine 11x and -6x to get 5x.

$$5x-17=-1$$

Add 17 to both sides.

$$5x=-1+17$$

Add -1 and 17 to get 16.

$$5x=16$$

Divide both sides by 5.

$$x=\frac{16}{5}$$