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Question Number 166678 by Laters last updated on 24/Feb/22

4+x+2x=8+2(3+x)−3  Find x

$$\mathrm{4}+\boldsymbol{{x}}+\mathrm{2}\boldsymbol{{x}}=\mathrm{8}+\mathrm{2}\left(\mathrm{3}+\boldsymbol{{x}}\right)−\mathrm{3} \\ $$$$\boldsymbol{{F}}{ind}\:{x} \\ $$$$ \\ $$

Answered by nurtani last updated on 24/Feb/22

4+x+2x=8+2(3+x)−3  ⇔ 4+3x=5+6+2x  ⇔3x−2x=11−4  ⇔ x = 7     ∴  x = 7

$$\mathrm{4}+{x}+\mathrm{2}{x}=\mathrm{8}+\mathrm{2}\left(\mathrm{3}+{x}\right)−\mathrm{3} \\ $$$$\Leftrightarrow\:\mathrm{4}+\mathrm{3}{x}=\mathrm{5}+\mathrm{6}+\mathrm{2}{x} \\ $$$$\Leftrightarrow\mathrm{3}{x}−\mathrm{2}{x}=\mathrm{11}−\mathrm{4} \\ $$$$\Leftrightarrow\:{x}\:=\:\mathrm{7} \\ $$$$\:\:\:\therefore\:\:{x}\:=\:\mathrm{7} \\ $$

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