Solve 5(x-1)+16(2x+3)=3(2x-7)-x

$$5(x-1)+16(2x+3)=3(2x-7)-x$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-1.

$$5x-5+16\left(2x+3\right)=3\left(2x-7\right)-x$$

Use the distributive property to multiply 16 by 2x+3.

$$5x-5+32x+48=3\left(2x-7\right)-x$$

Combine 5x and 32x to get 37x.

$$37x-5+48=3\left(2x-7\right)-x$$

Add -5 and 48 to get 43.

$$37x+43=3\left(2x-7\right)-x$$

Use the distributive property to multiply 3 by 2x-7.

$$37x+43=6x-21-x$$

Combine 6x and -x to get 5x.

$$37x+43=5x-21$$

Subtract 5x from both sides.

$$37x+43-5x=-21$$

Combine 37x and -5x to get 32x.

$$32x+43=-21$$

Subtract 43 from both sides.

$$32x=-21-43$$

Subtract 43 from -21 to get -64.

$$32x=-64$$

Divide both sides by 32.

$$x=\frac{-64}{32}$$

Divide -64 by 32 to get -2.

$$x=-2$$