Jerold

2020-11-02

Solve each equation for x
$a(3tx-2b)=c(dx-2)$

Yusuf Keller

Skilled2020-11-03Added 90 answers

Use the Distributive Property:

$a(3tx-2b)=3atx-2ab$

and

$c(dx-2)=cdx-2c$

So, the equation becomes

$3atx-2ab=cdx-2c$

We want the collect all terms with x on the left side, so subtract cdx from both sides:

$3atx-2ab-cdx=-2c$

We want to collect all terms with x on the right side, so add 2ab to both sides:

$3atx-cdx=2ab-2c$

Use the Distribute Property:

$3atx-cdx=(3at-cd)x$ ,

hence

$(3at-cd)x=2ab-2c$

Divide both sides by$3at-cd$ to obtain the solution:

$x=\frac{2ab-2c}{3at-cd}$

The denominators must not be 0. So, we have one restriction:

$3at-cd\ne 0$

and

So, the equation becomes

We want the collect all terms with x on the left side, so subtract cdx from both sides:

We want to collect all terms with x on the right side, so add 2ab to both sides:

Use the Distribute Property:

hence

Divide both sides by

The denominators must not be 0. So, we have one restriction:

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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