Solve 4(x-8)-(2x-4)=(2x-3)4+9/7-x/3

$$4 ( x - 8 ) - ( 2 x - 4 ) = \frac { ( 2 x - 3 ) 4 + 9 } { 7 } - \frac { x } { 3 }$$

Solve for x

$$x = \frac{579}{25} = 23\frac{4}{25} = 23.16$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 7,3.

$$84\left(x-8\right)-21\left(2x-4\right)=3\left(\left(2x-3\right)\times 4+9\right)-7x$$

Use the distributive property to multiply 84 by x-8.

$$84x-672-21\left(2x-4\right)=3\left(\left(2x-3\right)\times 4+9\right)-7x$$

Use the distributive property to multiply -21 by 2x-4.

$$84x-672-42x+84=3\left(\left(2x-3\right)\times 4+9\right)-7x$$

Combine 84x and -42x to get 42x.

$$42x-672+84=3\left(\left(2x-3\right)\times 4+9\right)-7x$$

Add -672 and 84 to get -588.

$$42x-588=3\left(\left(2x-3\right)\times 4+9\right)-7x$$

Use the distributive property to multiply 2x-3 by 4.

$$42x-588=3\left(8x-12+9\right)-7x$$

Add -12 and 9 to get -3.

$$42x-588=3\left(8x-3\right)-7x$$

Use the distributive property to multiply 3 by 8x-3.

$$42x-588=24x-9-7x$$

Combine 24x and -7x to get 17x.

$$42x-588=17x-9$$

Subtract 17x from both sides.

$$42x-588-17x=-9$$

Combine 42x and -17x to get 25x.

$$25x-588=-9$$

Add 588 to both sides.

$$25x=-9+588$$

Add -9 and 588 to get 579.

$$25x=579$$

Divide both sides by 25.

$$x=\frac{579}{25}$$