Question

solve this question -​

Answer 1

Let's solve your equation step-by-step.

$\frac{4(5x-2)}{3} +6=\frac{5(2x-5)}{3}-4$

Step 1: Simplify both sides of the equation.

$\frac{4(5x-2)}{3} +6=\frac{5(2x-5)}{3}-4$

(Distribute)

$\frac{20}{3}x+\frac{-8}{3}+6=\frac{10}{3}x+\frac{-25}{3}+-4$

(Combine Like Terms)

$(\frac{20}{3}x)+(\frac{-8}{3}+6)=(\frac{10}{3}x)+(\frac{-25}{3}+-4)$

$\frac{20}{3}x+\frac{10}{3}=\frac{10}{3}x+\frac{-37}{3}$

Step 2: Subtract $\frac{10}{3}x$ from both sides.

$\frac{20}{3}x+\frac{10}{3}-\frac{10}{3}x =\frac{10}{3}x+\frac{-37}{3}-\frac{10}{3}x$

$\frac{10}{3}x+\frac{10}{3}=\frac{-37}{3}$

Step 3: Subtract $\frac{10}{3}$ from both sides.

$\frac{10}{3}x+\frac{10}{3}-\frac{10}{3} =\frac{-37}{3}-\frac{10}{3}$

$\frac{10}{3}x=\frac{-47}{3}$

Step 4: Multiply both sides by $\frac{3}{10}$.

$\frac{3}{10}\times \frac{10}{3}x=\frac{3}{10}\times \frac{-47}{3}$

$x=\frac{-47}{10}$

∴ $x=\frac{-47}{10}$ in the equation ⇒ $\frac{4(5x-2)}{3} +6=\frac{5(2x-5)}{3}-4$

Additional Information :)

What is an equation?

A mathematical statement that tells us two things are equal is known as an equation. An equation consists of an equal sign.

What are the types of equations?

There are five types of equations. They are as follows.

• Quadratic Equation
• Linear Equation
• Radical Equation
• Rational Equation
• Exponential Equation