Solve =3(17-3x)-5(4x+2)=75-90x+5(7x+14)

$$= 3 ( 17 - 3 x ) - 5 ( 4 x + 2 ) = 75 - 90 x + 5 ( 7 x + 14 )$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 17-3x.

$$51-9x-5\left(4x+2\right)=75-90x+5\left(7x+14\right)$$

Use the distributive property to multiply -5 by 4x+2.

$$51-9x-20x-10=75-90x+5\left(7x+14\right)$$

Combine -9x and -20x to get -29x.

$$51-29x-10=75-90x+5\left(7x+14\right)$$

Subtract 10 from 51 to get 41.

$$41-29x=75-90x+5\left(7x+14\right)$$

Use the distributive property to multiply 5 by 7x+14.

$$41-29x=75-90x+35x+70$$

Combine -90x and 35x to get -55x.

$$41-29x=75-55x+70$$

Add 75 and 70 to get 145.

$$41-29x=145-55x$$

Add 55x to both sides.

$$41-29x+55x=145$$

Combine -29x and 55x to get 26x.

$$41+26x=145$$

Subtract 41 from both sides.

$$26x=145-41$$

Subtract 41 from 145 to get 104.

$$26x=104$$

Divide both sides by 26.

$$x=\frac{104}{26}$$

Divide 104 by 26 to get 4.

$$x=4$$