Solve 5(8)(x-3)=3-2(4x-3)

$$5 ( 8 ) ( x - 3 ) = 3 - 2 ( 4 x - 3 )$$

Solve for x

$$x = \frac{43}{16} = 2\frac{11}{16} = 2.6875$$

Steps for Solving Linear Equation

Multiply 5 and 8 to get 40.

$$40\left(x-3\right)=3-2\left(4x-3\right)$$

Use the distributive property to multiply 40 by x-3.

$$40x-120=3-2\left(4x-3\right)$$

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

$$40x-120=3-8x+6$$

Add 3 and 6 to get 9.

$$40x-120=9-8x$$

Add 8x to both sides.

$$40x-120+8x=9$$

Combine 40x and 8x to get 48x.

$$48x-120=9$$

Add 120 to both sides.

$$48x=9+120$$

Add 9 and 120 to get 129.

$$48x=129$$

Divide both sides by 48.

$$x=\frac{129}{48}$$

Reduce the fraction \frac{129}{48} to lowest terms by extracting and canceling out 3.

$$x=\frac{43}{16}$$