Solve 5(6x+1)=3(-8+x)+2

$$5 ( 6 x + 1 ) = 3 ( - 8 + x ) + 2$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 6x+1.

$$30x+5=3\left(-8+x\right)+2$$

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

$$30x+5=-24+3x+2$$

Add -24 and 2 to get -22.

$$30x+5=-22+3x$$

Subtract 3x from both sides.

$$30x+5-3x=-22$$

Combine 30x and -3x to get 27x.

$$27x+5=-22$$

Subtract 5 from both sides.

$$27x=-22-5$$

Subtract 5 from -22 to get -27.

$$27x=-27$$

Divide both sides by 27.

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

Divide -27 by 27 to get -1.

$$x=-1$$