Question

If 10(x-4)- 15(x-3)=3(3+x)-20,find x?
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Answer 1

Answer:

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Step-by-step explanation:

10x-40-15x+45=9+3x-20

-5x+5=3x-11

3x-5x+11+5=0

-2x=-16

x=-16/-2

x=8

Answer 2

Answer:

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Step-by-step explanation:

$10(x-4)- 15(x-3)=3(3+x)-20 \\ 10x - 40 - 15x + 45 = 9 + 3x - 20 \\ 10x - 15x - 40 + 45 = 3x + 9 - 20 \\ - 5x + 5 = 3x - 11 \\ 11 + 5 = 3x + 5x \\ 16 = 8x \\ x = 2$

Verification

put x = 2 in given equation

$10(2-4)- 15(2-3)=3(3+2)-20 \\10(-2)- 15(-1)=3(5)-20 \\-20 +15=15-20 \\-5= -5 \\ Hence \: LHS=RHS \\ Hence \: proved\: that \: x=2$