Question

Solve for x
3(x+7)-2(4x-3)=8(6x-2)-2(x-1)
answer fast please
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Answer 1

$\huge\fcolorbox {pink}{yellow} {Answer⤵}$

$3(x+7)-2(4x-3)=8(6x-2)-2(x-1)$

$Use \: the \: distributive \: property \: to \: multiply 3 \: by \: x+7.$

$3x+21-2\left(4x-3\right)=8\left(6x-2\right)-2\left(x-1\right)$

$Use \: \: the \: \: distributive \: property \: to \: multiply -2 \: by \: 4x-3.$

$3x+21-8x+6=8\left(6x-2\right)-2\left(x-1\right)$

$Combine \: \: 3x \: \: and \: \: -8x \: \: to \: \: get \: \: -5x.$

$-5x+21+6=8\left(6x-2\right)-2\left(x-1\right)$

$Add \: \: 21 \: \: and \: \: 6 \: \: to \: get \: 27.$

$-5x+27=8\left(6x-2\right)-2\left(x-1\right)$

$Use \: \: the \: \: distributive \: \: property \: \: to \: multiply \: \: 8 \: by \: 6x-2.$

$-5x+27=48x-16-2\left(x-1\right)$

$Use \: the \: distributive \: property \: to \: multiply \: -2 \: by \: x-1.$

$-5x+27=48x-16-2x+2$

$Combine \: 48x \: and \: -2x \: to \: get \: 46x.$

$-5x+27=46x-16+2$

$Add \: -16 \: and \: 2 \: to \: get -14.$

$-5x+27=46x-14$

$Subtract \: 46x \: from \: both \: sides.$

$-5x+27-46x=-14$

$Combine \: -5x \: and \: -46x \: to \: get -51x.$

$-51x+27=-14$

$Subtract \: 27 from \: both \: sides.$

$-51x=-14-27$

$Subtract \: \: 27 \: \: from \: \: -14 \: to \: get -41.$

$-51x=-41$

$Divide \: both \: sides \: by \: -51.$

$x=\frac{-41}{-51}$

$we \: can \: remove \: the \: negative \: sign \: from \: both \: sides$

$so \: \: x=\frac{41}{51}$

$\huge\fcolorbox {red}{lightgreen}{Hopes this helps you}$

Answer 2

hope this may help you dear