Solve 1+5(6+8x)=-7(3-2x)

$$1 + 5 ( 6 + 8 x ) = - 7 ( 3 - 2 x )$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 6+8x.

$$1+30+40x=-7\left(3-2x\right)$$

Add 1 and 30 to get 31.

$$31+40x=-7\left(3-2x\right)$$

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

$$31+40x=-21+14x$$

Subtract 14x from both sides.

$$31+40x-14x=-21$$

Combine 40x and -14x to get 26x.

$$31+26x=-21$$

Subtract 31 from both sides.

$$26x=-21-31$$

Subtract 31 from -21 to get -52.

$$26x=-52$$

Divide both sides by 26.

$$x=\frac{-52}{26}$$

Divide -52 by 26 to get -2.

$$x=-2$$