Question

Solve for x ~


`\bold{2(x + 1) - 4x = 3x + 5}`

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Answer 1

`x=-0.6`

Explanation:

`2\left(x+1\right)-4x=3x+5\quad :\quad x=-(3)/(5)\quad \left(\mathrm{Decimal}:\quad x=-0.6\right)`

`2\left(x+1\right)-4x=3x+5`

`2(x+1)-4:-2x+2`

`-2x+2=3x+5`

`\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}`

`-2x+2-2=3x+5-2`

`\mathrm{Simplify}`

`-2x=3x+3`

`\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}`

`-2x-3x=3x+3-3x`

`\mathrm{Simplify}`

`-5x=3`

`\mathrm{Divide\:both\:sides\:by\:}-5`

`(-5x)/(-5)=(3)/(-5)`

`\mathrm{Simplify}`

`x=-(3)/(5)`

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Answer 2

x = -0.6

solving steps:

`\sf \rightarrow 2\left(x+1\right)-4x=3x+5`

remove the parenthesis

`\sf \rightarrow 2x+2\right)-4x=3x+5`

group the variables

`\sf \rightarrow 2x-4x-3x\right)=5-2`

simplify

`\sf \rightarrow -5x\right)=3`

change sides

`\sf \rightarrow x\right)=(3)/(-5)`

answer in fraction

`\sf \rightarrow x\right)=-(3)/(5)`

answer in decimals

`\sf \rightarrow x\right)=-0.6`