Question

$solve 6x - 17 = 4x + 3.$
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Answer 1

Answer:

answer = x=10

Step-by-step explanation:

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Answer 2

Question :-

• 6x - 17 = 4x + 3 find value of x.

Solution :-

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we have,

$\bold{6x - 17 = 4x + 3}$

subtract 4x from both side

$\bold{ \implies 6x -17 - 4x = \cancel{4x} + 3 \cancel{ - 4x}} \\ \\ \bold{ \implies6x - 4x - 17 = 3 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{ \implies2x - 17 = 3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

now, add 17 both sides

$\bold{ \implies \: 2x \cancel{ - 17 } \cancel{+ 17 }= 3 + 17} \\ \\ \bold{ \implies2x = 20} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

now, divide 2 by both sides

$\bold{\implies \frac{ \cancel2x}{ \cancel2} = \cancel\frac{20}{2} } \\ \\ \bold{ \implies \: \underline{x = 10} }\: \: \: \:$

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In short

we have,

$\bold{6x - 17 = 4x + 3}$

$\bold{ \implies6x - 4x - 17 = 3} \\ \\ \bold{ \implies2x - 17 = 3} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{ \implies2x = 3 + 17} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{ \implies2x = 20} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{ \implies \: x = \cancel \frac{20}{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{ \implies \: \underline{x = 10}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

hence, value of x is 10