Eleven more than four times a number equal the number less 7 find the number

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Question:

Eleven more than four times a number equal the number less 7 find the number

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For this case we have to:x: Let the variable representing the unknown numberWe algebraically rewrite the given expression:Eleven more than four times a number, is represented as:[tex]11 + 4x[/tex]The number less 7, is represented as:[tex]x-7[/tex]Thus, the complete expression is:[tex]11 + 4x = x-7[/tex]We subtract x from both sides of the equation:[tex]11 + 4x-x = -7\\11 + 3x = -7[/tex]We subtract 11 from both sides of the equation:[tex]3x = -7-11[/tex]Equal signs are added and the same sign is placed:[tex]3x = -18[/tex]We divide by 3 on both sides of the equation:[tex]x = - \frac {18} {3}\\x = -6[/tex]Answer:[tex]x = -6[/tex]

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