Answer:
[tex]x=41[/tex]
Step-by-step explanation:
1. Simplify the expression
[tex]x-3+2x-1+3x-2+2x-3+x=360[/tex]
Group like terms:
[tex]\left(x+2x+3x+2x+x\right)+\left(-3-1-2-3\right)=360[/tex]
Simplify the arithmetic:
[tex]9x+\left(-3-1-2-3\right)=360[/tex]
Simplify the arithmetic:
[tex]9x-9=360[/tex]
2. Group all constants on the right side of the equation
[tex]9x-9=360[/tex]
Add 9 to both sides:
[tex]9x-9+9=360+9[/tex]
Simplify the arithmetic:
[tex]9x=360+9[/tex]
Simplify the arithmetic:
[tex]9x=369[/tex]
3. Isolate the x
[tex]9x=369[/tex]
Divide both sides by 9:
[tex]\frac{9x}{9}=\frac{369}{9}[/tex]
Simplify the fraction:
[tex]x=\frac{369}{9}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]x=\frac{41\cdot 9}{1\cdot 9}[/tex]
Factor out and cancel the greatest common factor:
[tex]x=41[/tex]
Terms and topics
- Linear equations with one unknown
Cheers,
ROR
