How do you solve -100.47= - 7.3( x + 7.1) - 7.9x?

1 Answer
Jan 21, 2018

x=3.2

Explanation:

Multiply the bracket(s) to get rid of the brackets as this in the first step in BIDMAS/BODMAS.

color(orange)(-7.3 xx x=-7.3x

color(blue)(-7.3 xx 7.1=-51.83

This gives us color(blue)(-100.47)=color(orange)(-7.3x)color(blue)(-51.83)color(orange)(-7.9x)

Collect like terms on each side if possible, in this instance only the right...

color(orange)(-7.3x + -7.9x=-15.2x

This therefore leaves us with:

=> color(blue)(-100.47)=color(orange)(-15.2x)color(blue)(-51.83)

We want x on its own so therefore we do the opposite of color(blue)(-51.83 which is adding color(blue)(51.83 to both sides, as you have to add to both sides of the equation...

color(blue)(-100.47)=color(orange)(-15.2x)color(blue)(-51.83)

=> color(blue)(-48.64)=color(orange)(-15.2x) color(Blue)((+51.83)

Therefore to solve for x, we divide the total over how many x's we have which goes to...

color(red)(x=-48.64/15.2

As -1 xx -1=1

color(red)(x=48.64/15.2=3.2

Round if necessary, But in this case it's not, so leave it as:

=> color(red)(x=3.2)