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

2 answers:

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]2 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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