Solve 5x*1/2=2(3x+10)

$$5x \times \frac{ 1 }{ 2 } =2(3x+10)$$

Solve for x

$$x = -\frac{40}{7} = -5\frac{5}{7} \approx -5.714285714$$

Steps for Solving Linear Equation

Multiply 5 and \frac{1}{2} to get \frac{5}{2}.

$$\frac{5}{2}x=2\left(3x+10\right)$$

Use the distributive property to multiply 2 by 3x+10.

$$\frac{5}{2}x=6x+20$$

Subtract 6x from both sides.

$$\frac{5}{2}x-6x=20$$

Combine \frac{5}{2}x and -6x to get -\frac{7}{2}x.

$$-\frac{7}{2}x=20$$

Multiply both sides by -\frac{2}{7}, the reciprocal of -\frac{7}{2}.

$$x=20\left(-\frac{2}{7}\right)$$

Express 20\left(-\frac{2}{7}\right) as a single fraction.

$$x=\frac{20\left(-2\right)}{7}$$

Multiply 20 and -2 to get -40.

$$x=\frac{-40}{7}$$

Fraction \frac{-40}{7} can be rewritten as -\frac{40}{7} by extracting the negative sign.

$$x=-\frac{40}{7}$$