Question

5(x+2) + x- 3= 2(x+12)+35

Answer 1

`\bigcirc x=13`

Explanation:

`5\left(x+2\right)+x-3=2\left(x+12\right)+35`

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`\bigcirc`
`5\left(x+2\right)+x-3`

Distribute

`\longmapsto`
`5x+5* \:2`

`\longmapsto5x+10`

`\longmapsto5x+10+x-3`

Combine like terms:

`\longmapsto6x+7`

`\bigcirc`
`2\left(x+12\right)+35`

`\longmapsto`
`2x+24`

`\longmapsto`
`2x+24+35`

`\longmapsto2x+59`

`\bigcirc`
`6x+7=2x+59`

Subtract 7 from both sides:

`\longmapsto6x-2x=2x+52-2x`

`\longmapsto6x=2x+52`

Subtract 2x from both sides:

`\longmapsto6x-2x=2x+52-2x`

`\longmapsto4x=52`

Divide both sides by 4:

`\longmapsto(4x)/(4)=(52)/(4)`

`\longmapsto x=13`

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