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3 years ago

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)?

Mathematics

1 answer:

Semmy [17]3 years ago

3 0

The value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x) for x=2

Step-by-step explanation:

We have to write the given problem mathematically to solve it

So,

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

First of all, distributive property will be applied

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

We have to isolate the variable on one side of the equation

Adding 2x on both sides of equation

$20x-32+2x = 12-2x+2x\\22x-32 = 12$

Addition property of equality with 32

$22x-32+32 = 12+32\\22x = 44$

Division Property of Equality (22)

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

Hence,

The value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x) for x=2

Keywords: Linear equation, variables

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