Solve 2(x-5)=-51(x+2)

$$2 ( x - 5 ) = - 51 ( x + 2 )$$

Solve for x

$$x = -\frac{92}{53} = -1\frac{39}{53} \approx -1.735849057$$

Steps for Solving Linear Equation

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

$$2x-10=-51\left(x+2\right)$$

Use the distributive property to multiply -51 by x+2.

$$2x-10=-51x-102$$

Add 51x to both sides.

$$2x-10+51x=-102$$

Combine 2x and 51x to get 53x.

$$53x-10=-102$$

Add 10 to both sides.

$$53x=-102+10$$

Add -102 and 10 to get -92.

$$53x=-92$$

Divide both sides by 53.

$$x=\frac{-92}{53}$$

Fraction \frac{-92}{53} can be rewritten as -\frac{92}{53} by extracting the negative sign.

$$x=-\frac{92}{53}$$