Question

solve 10(2-x)=4(x-9)​

Answer 1

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$\small{➦}$$\small\sf{10\:(2\:-\:x)\:=\:4\:(x\:-\:9)}$

$\small{➦}$$\small\sf{20\:-\:10x\:=\:4x\:-\:36}$

$\small{➦}$$\small\sf{-10x\:-\:4x\:=\:-36\:+\:-20}$

$\small{➦}$$\small\sf{-14x\:=\:-56}$

$\small{➦}$$\small\sf{x\:=}\:{\frac{\cancel{-56}}{\cancel{-14}}}$

$\small{➦}$$\small\sf{x\:=\:4}$

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Answer 2

Answer:

$10(2 - x) = 4(x - 9)$

$(10 \times 2 - 10 \times x) =( 4 \times x - 4 \times 9)$

$20 - 10x = 4x - 36$

$20 + 36 = 4x + 10x$

$56 = 14x$

$\frac{56}{14} = x$

$\frac{8}{2} = x$

$\frac{4}{1} = x$

$x = 4$