Question 117918
{{{22x -6(3x-0.325)=3x+0.535}}} Start with the given equation



{{{22x -18x+1.95=3x+0.535}}} Distribute





{{{1000(22x-18x+1.95)=1000(3x+0.535)}}} Multiply both sides by 1000 to move the decimal on each number 3 times. This will make every number a whole number.


{{{22000x-18000x+1950=3000x+535}}} Distribute and multiply




{{{4000x+1950=3000x+535}}} Combine like terms on the left side



{{{4000x=3000x+535-1950}}}Subtract 1950 from both sides



{{{4000x-3000x=535-1950}}} Subtract 3000x from both sides



{{{1000x=535-1950}}} Combine like terms on the left side



{{{1000x=-1415}}} Combine like terms on the right side



{{{x=(-1415)/(1000)}}} Divide both sides by 1000 to isolate x




{{{x=-283/200}}} Reduce


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Answer:

So our answer is {{{x=-283/200}}}  (which is approximately {{{x=-1.415}}} in decimal form)