Solve 10*(x+4)+36x=8*(3x+5)-16+2*(x-1)

$$10 \cdot ( x + 4 ) + 36 x = 8 \cdot ( 3 x + 5 ) - 16 + 2 \cdot ( x - 1 )$$

Solve for x

$$x=-\frac{9}{10}=-0.9$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by x+4.

$$10x+40+36x=8\left(3x+5\right)-16+2\left(x-1\right)$$

Combine 10x and 36x to get 46x.

$$46x+40=8\left(3x+5\right)-16+2\left(x-1\right)$$

Use the distributive property to multiply 8 by 3x+5.

$$46x+40=24x+40-16+2\left(x-1\right)$$

Subtract 16 from 40 to get 24.

$$46x+40=24x+24+2\left(x-1\right)$$

Use the distributive property to multiply 2 by x-1.

$$46x+40=24x+24+2x-2$$

Combine 24x and 2x to get 26x.

$$46x+40=26x+24-2$$

Subtract 2 from 24 to get 22.

$$46x+40=26x+22$$

Subtract 26x from both sides.

$$46x+40-26x=22$$

Combine 46x and -26x to get 20x.

$$20x+40=22$$

Subtract 40 from both sides.

$$20x=22-40$$

Subtract 40 from 22 to get -18.

$$20x=-18$$

Divide both sides by 20.

$$x=\frac{-18}{20}$$

Reduce the fraction \frac{-18}{20} to lowest terms by extracting and canceling out 2.

$$x=-\frac{9}{10}$$