Respuesta :
Starting with the equation:
[tex]7(x+5)=3(x-8)[/tex]Use the distributive property to expand both parenthesis:
[tex]7\cdot x+7\cdot5=3\cdot x-3\cdot8[/tex]Solve the products 7*5 and 3*8:
[tex]7x+35=3x-24[/tex]Substract 35 from both sides of the equation:
[tex]7x+35-35=3x-24-35[/tex]Solve the additions 35-35 and -24-35:
[tex]7x=3x-59[/tex]Substract 3x from both sides of the equation:
[tex]7x-3x=3x-59-3x[/tex]Add like terms in both sides of the equation:
[tex]4x=-59[/tex]Divide both sides of the equation by 4:
[tex]\frac{4x}{4}=\frac{-59}{4}[/tex]Simplify the fraction 4/4:
[tex]x=-\frac{59}{4}[/tex]Check this answer by plugging in the value of x in the original equation:
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