Solve 5(2x+1)=2(3x-4)

$$5(2x+1)=2(3x-4)$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 2x+1.

$$10x+5=2\left(3x-4\right)$$

Use the distributive property to multiply 2 by 3x-4.

$$10x+5=6x-8$$

Subtract 6x from both sides.

$$10x+5-6x=-8$$

Combine 10x and -6x to get 4x.

$$4x+5=-8$$

Subtract 5 from both sides.

$$4x=-8-5$$

Subtract 5 from -8 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.

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