Question

practice solving linear equations in one variable with the variable on both sides
calculator
what is the value of x?
0.8(5x + 25) - 3x = 0.6(40 - 15x)
use the number pad to enter your answer in the box.
x =

Explanation:

Step1: Distribute the coefficients

First, we distribute 0.8 on the left side and 0.6 on the right side.
For the left side: \(0.8(5x + 25)=0.8\times5x+0.8\times25 = 4x + 20\)
For the right side: \(0.6(40 - 15x)=0.6\times40-0.6\times15x = 24 - 9x\)
So the equation becomes \(4x + 20-3x=24 - 9x\)

Step2: Simplify like terms

Simplify the left side by combining like terms (\(4x-3x\)):
\(x + 20=24 - 9x\)

Step3: Add 9x to both sides

To get all the x terms on one side, we add 9x to both sides of the equation:
\(x+9x + 20=24-9x + 9x\)
\(10x + 20=24\)

Step4: Subtract 20 from both sides

Subtract 20 from both sides to isolate the term with x:
\(10x+20 - 20=24 - 20\)
\(10x=4\)

Step5: Divide by 10

Divide both sides by 10 to solve for x:
\(x=\frac{4}{10}=0.4\)

Answer:

\(0.4\)