Solve 2(x-5)=3(2x+1)

$$2(x-5)=3(2x+1)$$

Solve for x

$$x = -\frac{13}{4} = -3\frac{1}{4} = -3.25$$

Steps for Solving Linear Equation

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

$$2x-10=3\left(2x+1\right)$$

Use the distributive property to multiply 3 by 2x+1.

$$2x-10=6x+3$$

Subtract 6x from both sides.

$$2x-10-6x=3$$

Combine 2x and -6x to get -4x.

$$-4x-10=3$$

Add 10 to both sides.

$$-4x=3+10$$

Add 3 and 10 to get 13.

$$-4x=13$$

Divide both sides by -4.

$$x=\frac{13}{-4}$$

Fraction \frac{13}{-4} can be rewritten as -\frac{13}{4} by extracting the negative sign.

$$x=-\frac{13}{4}$$