Question

2(x+5)=1/2(x-4)
Step by step

Answer 1

`\huge\bf \underline{Solution:-}`

`2(x + 5) = (1)/(2) (x - 4)`

`⇒2x + 10 = (x)/(2) - (4)/(2)`

`⇒2x - (x)/(2) = - (4)/(2) - 10`

`⇒ (4x - x)/(2) = - 2 - 10`

`⇒ (3x)/(2) = - 12`

`⇒3x = - 24`

`⇒x = - ( 24)/(3)`

`⇒x = - 8`

`\\`

`\sf \underline{Now, \: we \: are \: gonna \: do \: correction \: test :-}`

`L.H.S. = 2 (x + 5)`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2( - 8 + 5)`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 * ( - 3)`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 6`

`R.H.S = (1)/(2) (x - 4)`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (1)/(2) ( - 8 - 4)`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (1)/(2) * ( - 12)`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 6`

`\bold{ \therefore{L.H.S = R.H.S}}`

`\sf \red{Hence, \: the \: value \: of \: x \: is \: - 8. }`

Answer 2

`\text {Hello! Let's Solve this Problem!}`

`\text {\underline {The First Step is to Simplify}}`

`\text {2*x=2x}\\\text {2*5=10}\\\text {1/2*x=1/2x}\\\text {1/2*-4=-2}`

`\text {Your New Problem Is: 2x+10=1/2x-2}`

`\text {\underline {The Next Step is to Subtract 1/2x}}`

`\text {2x+10-1/2x=1/2x-2-1/2x}`

`\text {Your New Problem Is: 3/2x+10=-2}`

`\text {\underline {The Next Step is to Subtract 10}}`

`\text {3/2x+10-10=-2-10}`

`\text {Your Final Problem Is: 3/2x-12}`

`\text {\underline {The Final Step is to Multiply 2/3}}`

`\text {2/3*3/2x=2/3*-12}`

`\text {Your Answer Would Be:}`

`\Huge\boxed {x=-8}`

`\text {Best of Luck!}`