Verified answer

Given :-

• [tex] \sf0.2 \: (0.3x - 5) \: = \: 5.2 - 3x[/tex]

To Find :-

• What is the value of x ?

Solution :-

༒ Calculating the equation :

[tex] \displaystyle\: \sf \implies \: 0.2 \: (0.3x - 5) \: = \: 5.2 - 3x[/tex]

[tex] \displaystyle\: \sf \implies \: 0.06x - ( - 1)\: = \: 5.2 - 3x[/tex]

[tex] \displaystyle\: \sf \implies \: 0.06x + 1\: = \: 5.2 - 3x[/tex]

[tex] \displaystyle\: \sf \implies \: 0.06x + 3x\: = \: 5.2 - 1[/tex]

[tex]\displaystyle\: \sf \implies \: 3.06x \: = \: 4.2 [/tex]

[tex]\displaystyle\: \sf \implies \: x \: = \: \cancel \frac{4.2}{3.06} [/tex]

[tex]\displaystyle\: \bf \implies \: x \: = \: \bf{\red{ \frac{70}{51}} } \: \: \: or \: \: \: \red{1 \: \frac{19}{51} }[/tex]

[tex] \boxed{ \: \therefore \: \bf The \: value \: of \: x \: is \: \: \frac{70}{51} \: \: or \: \: 1\frac{19}{51} \: }[/tex]

[tex] \: [/tex]

[tex] \: [/tex]