Question

Solve for x

2(x+7) = 6x + 9 -4x

Answer 1

`\huge\text{Hey there!}`

`\large\textsf{2(x + 7) = 6x + 9 - 4x}`

`\large\textsf{2x + 14 = 6x + 9 - 4x}`

`\large\textsf{2x + 14 = 2x + 9}`

`\large\text{SUBTRACT \textsf{2x} to BOTH SIDES}`

`\large\textsf{2x + 14 - 2x = 2x + 9 - 2x}`

`\large\text{CANCEL out: \textsf{2x - 2x} because that gives you \textsf{0}}`

`\large\text{NEW EQUATION: \textsf{14 = 9}}`

`\large\text{SUBTRACT \textsf{14} to BOTH SIDES}`

`\large\textsf{14 - 14 = 9 - 14}`

`\large\textsf{14 - 14 = \bf 0}`

`\large\textsf{9 - 14 = \bf -5}`

`\large\textsf{\bf 0 = -5}`

`\large\textsf{Therefore, this means that you DO NOT have any solutions to this}\\\large\textsf{equation}`

`\boxed{\boxed{\huge\text{Therefore, your answer: \textsf{No Solutions}}}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`

Answer 2

no solutions

Explanation:

2(x+7) = 6x + 9 -4x

Distribute

2x+14 = 6x + 9 -4x

Combine like terms

2x+14 = 2x + 9

Subtract 2x from each side

2x+14-2x = 2x + 9 -2x

14 = 9

This is never true so there are no solutions