Question 125973


{{{5x+8=3x-4}}} Start with the given equation




{{{5x=3x-4-8}}}Subtract 8 from both sides



{{{5x-3x=-4-8}}} Subtract 3x from both sides



{{{2x=-4-8}}} Combine like terms on the left side



{{{2x=-12}}} Combine like terms on the right side



{{{x=(-12)/(2)}}} Divide both sides by 2 to isolate x




{{{x=-6}}} Divide


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Answer:

So our answer is {{{x=-6}}} 






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Check:




{{{5x+8=3x-4}}} Start with the given equation



{{{5(-6)+8=3(-6)-4}}} Plug in {{{x=-6}}}. In other words, replace each {{{x}}} with {{{-6}}}



{{{-30+8=-18-4}}} Multiply



{{{-22=-22}}} Combine like terms. Since the two sides of the equation are equal, this verifies our answer.