For x=2, the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)
Step-by-step explanation:
We have to convert the given statement in mathematical or algebraic form to get the value of x for which the given condition is true.
So,
The problem can be written as:
[tex]4(5x-8) = 2(4-x)+4[/tex]
Applying distributive property
[tex]20x-32 = 8-2x+4\\20x-32 = 12-2x\\[/tex]
Adding 32 on both sides
[tex]20x-32+32 = 12-2x+32\\20x = 44-2x[/tex]
Adding 2x on both sides
[tex]20x+2x = 44-2x+2x\\22x=44[/tex]
Dividing both sides by 22
[tex]\frac{22x}{22} = \frac{44}{22}\\x = 2[/tex]
Hence,
For x=2, the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)
Keywords: Linear equation, variables
Learn more about linear equation at:
#LearnwithBrainly
