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Kazeer [188]
3 years ago
6

What is the value of x in the equation 5(4x-10)+10x=4(2x-3)+2(x-4) ?

Mathematics
2 answers:
MrRissso [65]3 years ago
6 0
5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)
20x - 50 + 10x = 8x - 12 + 2x - 8
30x - 50 = 10x - 20
30x - 10x = -20 + 50
20x = 30
x = 3/2 <==
PilotLPTM [1.2K]3 years ago
3 0

Answer:

\frac{3}{2}

Step-by-step explanation:

Here, the given expression is,

5(4x-10)+10x=4(2x-3)+2(x-4)

By distributive property,

20x - 50 + 10x = 8x - 12 + 2x - 8

By combining like terms,

30x -50=10x-20

Adding 50 on both sides,

30x=10x-20+50

30x = 10x + 30

Subtracting 10x on both sides,

20x = 30

Divide both sides by 20,.

x=\frac{3}{2}

Hence, LAST option is correct.

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