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

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

Solve for x

$$x = -\frac{29}{7} = -4\frac{1}{7} \approx -4.142857143$$

Steps for Solving Linear Equation

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

$$15+5x=-2\left(x+7\right)$$

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

$$15+5x=-2x-14$$

Add 2x to both sides.

$$15+5x+2x=-14$$

Combine 5x and 2x to get 7x.

$$15+7x=-14$$

Subtract 15 from both sides.

$$7x=-14-15$$

Subtract 15 from -14 to get -29.

$$7x=-29$$

Divide both sides by 7.

$$x=\frac{-29}{7}$$

Fraction \frac{-29}{7} can be rewritten as -\frac{29}{7} by extracting the negative sign.

$$x=-\frac{29}{7}$$