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

Mathematics

1 answer:

Sphinxa [80]2 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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