Question

5x5(x+1)−3(x+4)=5x by 3

with solution
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Answer 1

$5 \times 5(x + 1) - 3(x + 4) = 5x \div 3 \\ 10x(x + 1) - 3(x + 4) = 5x \div 3 \\ (multiplying \: through \: out \: by \: 3) \\ 30(x + 1) - 9(x + 4) = 5x \\ 30x + 30 - 9x + 36 = 5x \\ 21x + 66 = 5x \\ 21x - 5x + 66 = 0 \\ 16x + 66 = 0 \\ 16x = - 66 \\ x = - 66 \div 16 \\ = - 33 \div 8 \\ therefore \: x = - 33 \div 8$

Answer 2

Corrected Question :

• ${\sf{5\:x\:5\bigg(x\:+\:1\bigg)\:-3\; \bigg(x\:+\:4\bigg)\:=\:5x\;by\:3}}$

S O L U T I O N :

${\sf{5\:x\:5\bigg(x\:+\:1\bigg)\:-3\; \bigg(x\:+\:4\bigg)\:=\:5x\;÷\:3}}$

${\sf{10x\bigg(x\:+\:1\bigg)\:-3\; \bigg(x\:+\:4\bigg)\:=\:5x\;by\:3}}$

$~~~~~~~~$${\sf{\bigg[multiplication\: through\;out\;by\;3\bigg]}}$

$~~~~$:$\implies$${\sf{30\bigg(x\:+\:1\bigg)\:-9\; \bigg(x\:+\:4\bigg)\:=\:5x}}$

:$\implies$${\sf{30x\:+\:30\:-\:9x\;+\:36\:=\:5x}}$

$~~~~$:$\implies$${\sf{21x\:+\;66\:=\:5x}}$

:$\implies$${\sf{21x\:-\:5x\:+\:66\;=\:0}}$

$~~~~$:$\implies$${\sf{16x\:=\:-66}}$

:$\implies$${\sf{x\:=\:-66\:÷\:16}}$

$~~~~$:$\implies$${\underline{\boxed{\frak{\pink{-33\:÷\:8}}}}}$★

Hence,

• $\therefore{\underline{\bf{x}\:\sf{=}\:\bf{-33\:÷\:8}}}$

$~~~~$$\qquad\quad\therefore{\underline{\textsf{\textbf{Hence, Proved!}}}}$

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