Question

For what value of the variable the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)?

Answer 1

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:

$4(5x-8) = 2(4-x)+4$

Applying distributive property

$20x-32 = 8-2x+4\\20x-32 = 12-2x$

Adding 32 on both sides

$20x-32+32 = 12-2x+32\\20x = 44-2x$

Adding 2x on both sides

$20x+2x = 44-2x+2x\\22x=44$

Dividing both sides by 22

$\frac{22x}{22} = \frac{44}{22}\\x = 2$

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

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