[tex]\bf x+\cfrac{1}{7}x=19\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{7\left( x+\cfrac{1}{7}x \right)=7(19)}\implies 7x+x=133 \\\\\\ 8x=133\implies x=\cfrac{133}{8}\implies x=16\frac{5}{8}[/tex]
Answer:
16.625
Step-by-step explanation:
(1/7)x + x = 19
Isolate the variable. Note the equal sign, what you do to one side, you do to the other. First, multiply 7 to all terms inside the equation.
(7)(1/7)x + (7)(x) = (7)(19)
x + 7x = 133
Simplify. Combine like terms.
x + 7x = 133
8x = 133
Isolate the variable x. Divide 8 from both sides.
(8x)/8 = (133)/8
x = 133/8
x = 16.625
16.625 is your answer for x.
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