Solve 10x-8x-3/4=2*(x-3)

$$10 x - \frac { 8 x - 3 } { 4 } = 2 * ( x - 3 )$$

Solve for x

$$x = -\frac{9}{8} = -1\frac{1}{8} = -1.125$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$40x-\left(8x-3\right)=8\left(x-3\right)$$

To find the opposite of 8x-3, find the opposite of each term.

$$40x-8x-\left(-3\right)=8\left(x-3\right)$$

The opposite of -3 is 3.

$$40x-8x+3=8\left(x-3\right)$$

Combine 40x and -8x to get 32x.

$$32x+3=8\left(x-3\right)$$

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

$$32x+3=8x-24$$

Subtract 8x from both sides.

$$32x+3-8x=-24$$

Combine 32x and -8x to get 24x.

$$24x+3=-24$$

Subtract 3 from both sides.

$$24x=-24-3$$

Subtract 3 from -24 to get -27.

$$24x=-27$$

Divide both sides by 24.

$$x=\frac{-27}{24}$$

Reduce the fraction \frac{-27}{24} to lowest terms by extracting and canceling out 3.

$$x=-\frac{9}{8}$$