Answer:
1/21
Step-by-Step Explanation:
Let's solve your equation step-by-step.
3(1−5x)=2(3x+1)
Step 1: Simplify both sides of the equation.
3(1−5x)=2(3x+1)
(3)(1)+(3)(−5x)=(2)(3x)+(2)(1)(Distribute)
3+−15x=6x+2
−15x+3=6x+2
Step 2: Subtract 6x from both sides.
−15x+3−6x=6x+2−6x
−21x+3=2
Step 3: Subtract 3 from both sides.
−21x+3−3=2−3
−21x=−1
Step 4: Divide both sides by -21.
-21x/-21=-1/-21
x=1/21
<em><u>(0.2)x = 2.</u></em>
<em><u>Taking log on both sides</u></em>
<em><u>log (0.2)x = log 2.</u></em>
<em><u>x</u></em><em><u> </u></em><em><u>log (0.2) = 0.3010, [since log 2 = 0.3010].</u></em>
<em><u>x</u></em><em><u> </u></em><em><u>log (2/10) = 0.3010.</u></em>
<em><u>x</u></em><em><u> </u></em><em><u>[log 2 - log 10] = 0.3010.</u></em>
<em><u>x</u></em><em><u> </u></em><em><u>[log 2 - 1] = 0.3010,[since log 10=1].</u></em>
<em><u>x[-0.699] = 0.3010.</u></em>
<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>0.3010/-0.699.</u></em>
<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>= -0.4306….</u></em>
<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>= -0.4</u></em><em><u>.</u></em>
The Answer to this problem is 190179