Question

Solve for x. 7(x + 2) = 6(x + 5) A. x = -44 B.x = -16 C. x = 16 D. x = 44

Answer 1

`Solution, solve\:for\:x,\:7\left(x+2\right)=6\left(x+5\right)\quad :\quad x=16`

`Steps:`

`\mathrm{Expand\:}7\left(x+2\right):\quad 7x+14`,
`\mathrm{Expand\:}6\left(x+5\right):\quad 6x+30`,
`7x+14=6x+30`

`\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}, 7x+14-14=6x+30-14`

`\mathrm{Simplify}, 7x=6x+16`

`\mathrm{Subtract\:}6x\mathrm{\:from\:both\:sides}, 7x-6x=6x+16-6x`

`\mathrm{Simplify}, x=16`

The correct answer is x=16

Hope This Helps!!!

Answer 2

x = 16. Hope this helps!