Solve -4(2x+7)=8(5+x)

$$- 4 ( 2 x + 7 ) = 8 ( 5 + x )$$

Solve for x

$$x = -\frac{17}{4} = -4\frac{1}{4} = -4.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 2x+7.

$$-8x-28=8\left(5+x\right)$$

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

$$-8x-28=40+8x$$

Subtract 8x from both sides.

$$-8x-28-8x=40$$

Combine -8x and -8x to get -16x.

$$-16x-28=40$$

Add 28 to both sides.

$$-16x=40+28$$

Add 40 and 28 to get 68.

$$-16x=68$$

Divide both sides by -16.

$$x=\frac{68}{-16}$$

Reduce the fraction \frac{68}{-16} to lowest terms by extracting and canceling out 4.

$$x=-\frac{17}{4}$$