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geniusboy [140]
3 years ago
12

Solve the equation 5(x-2)=7(x+4) for x

Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer:

\boxed{\bold{x=-19}}

Step By Step Explanation:

Expand \bold{5\left(x-2\right): \ 5x-10}

Expand \bold{7\left(x+4\right): \ 7x+28}

\bold{5x-10=7x+28}

Add 10 To Both Sides

\bold{5x=7x+38}

Subtract 7x From Both Sides

\bold{5x-7x=7x+38-7x}

Simplify

\bold{-2x=38}

Divide Both Sides By -2

\bold{\frac{-2x}{-2}=\frac{38}{-2}}

Simplify

\bold{x=-19}

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