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Sagot :
Answer:
[tex]\boxed{\boxed{\sf x=\frac{23}{10}}\: \sf or \:\boxed{x=2.3}}[/tex]
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[tex]\boxed{\sf Step\: By\:Step:- }[/tex]
[tex]\sf 3x-\left(2x-1\right)=7x-\left(3\times \:5x\right)+\left(-x+24\right)[/tex]
Remove the parentheses:
[tex]\to\sf 3x-\left(2x-1\right)=7x-3\times \:5x-x+24[/tex]
Combine like terms:
[tex]\sf ^*7x-x=6x[/tex]
[tex]\to\sf 3x-\left(2x-1\right)=6x-3\times \:5x+24[/tex]
Multiply 3 and 5x = 15x:-
[tex]\to\sf 3x-\left(2x-1\right)=6x-15x+24[/tex]
Combine like terms:
[tex]\sf ^*6x-15x=-9x[/tex]
[tex]\to\sf 3x-\left(2x-1\right)=-9x+24[/tex]
Expand: 3x-(2x-1)= x+1
[tex]\to\sf x+1=-9x+24[/tex]
Subtract 1 from both sides:
[tex]\to\sf x+1-1=-9x+24-1[/tex]
[tex]\to\sf x=-9x+23[/tex]
Add 9x to both sides:
[tex]\to\sf x+9x=-9x+23+9x[/tex]
[tex]\to\sf 10x=23[/tex]
Divide both sides by 10:
[tex]\to\sf \cfrac{10x}{10}=\cfrac{23}{10}[/tex]
[tex]\to\sf x=\cfrac{23}{10}[/tex]
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