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

$$\frac{ (2 \times -7) }{ 5 } = \frac{ (x+2) }{ 3 }$$

Solve for x

$$x = -\frac{52}{5} = -10\frac{2}{5} = -10.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

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

Multiply 3 and 2 to get 6.

$$6\left(-7\right)=5\left(x+2\right)$$

Multiply 6 and -7 to get -42.

$$-42=5\left(x+2\right)$$

Use the distributive property to multiply 5 by x+2.

$$-42=5x+10$$

Swap sides so that all variable terms are on the left hand side.

$$5x+10=-42$$

Subtract 10 from both sides.

$$5x=-42-10$$

Subtract 10 from -42 to get -52.

$$5x=-52$$

Divide both sides by 5.

$$x=\frac{-52}{5}$$

Fraction \frac{-52}{5} can be rewritten as -\frac{52}{5} by extracting the negative sign.

$$x=-\frac{52}{5}$$