Question

3x-(2x-1)=7x-(3*5x)+(-x+24)

Answer 1

`\boxed{\boxed{\sf x=(23)/(10)}\: \sf or \:\boxed{x=2.3}}`

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`\boxed{\sf Step\: By\:Step:- }`

`\sf 3x-\left(2x-1\right)=7x-\left(3* \:5x\right)+\left(-x+24\right)`

Remove the parentheses:

`\to\sf 3x-\left(2x-1\right)=7x-3* \:5x-x+24`

Combine like terms:

`\sf ^*7x-x=6x`

`\to\sf 3x-\left(2x-1\right)=6x-3* \:5x+24`

Multiply 3 and 5x = 15x:-

`\to\sf 3x-\left(2x-1\right)=6x-15x+24`

Combine like terms:

`\sf ^*6x-15x=-9x`

`\to\sf 3x-\left(2x-1\right)=-9x+24`

Expand: 3x-(2x-1)= x+1

`\to\sf x+1=-9x+24`

Subtract 1 from both sides:

`\to\sf x+1-1=-9x+24-1`

`\to\sf x=-9x+23`

Add 9x to both sides:

`\to\sf x+9x=-9x+23+9x`

`\to\sf 10x=23`

Divide both sides by 10:

`\to\sf \cfrac{10x}{10}=\cfrac{23}{10}`

`\to\sf x=\cfrac{23}{10}`

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