Question

(x-3) + (2x-1) + (3x-2) + (2x-3) + x = 360°

Find the value of x,

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Answer 1

`x=41`

Explanation:

1. Simplify the expression

`x-3+2x-1+3x-2+2x-3+x=360`

Group like terms:

`\left(x+2x+3x+2x+x\right)+\left(-3-1-2-3\right)=360`

Simplify the arithmetic:

`9x+\left(-3-1-2-3\right)=360`

Simplify the arithmetic:

`9x-9=360`

2. Group all constants on the right side of the equation

`9x-9=360`

Add 9 to both sides:

`9x-9+9=360+9`

Simplify the arithmetic:

`9x=360+9`

Simplify the arithmetic:

`9x=369`

3. Isolate the x

`9x=369`

Divide both sides by 9:

`(9x)/(9)=(369)/(9)`

Simplify the fraction:

`x=(369)/(9)`

Find the greatest common factor of the numerator and denominator:

`x=(41\cdot 9)/(1\cdot 9)`

Factor out and cancel the greatest common factor:

`x=41`

Terms and topics

• Linear equations with one unknown

Cheers,

ROR

Answer 2

41

Explanation:

simplify the left side:

`9x - 9 = 360\\9x = 369\\x = 41`