Question

Question #3f1d2

Answer 1

`x = -10/7`

Explanation:

• Remove parentheses by distributing their coefficients:

`9x+4 = color(red)(2(x-1)) - 4`

`9x+4 = color(red)(2x-2(1))-4`

`9x+4 = 2x-2-4`

• Gather all terms containing `x` on the left hand side of the equation, and all other terms on the right hand.

`9x+color(red)(4) = color(blue)(2x)-2-4`

`9x+cancel(4)cancel(color(red)(-4))color(blue)(-2x) = cancel(2x)-2-4color(red)(-4)cancel(color(blue)(-2x))`

`9x - 2x = -2 -4 -4`

• Combine like terms.

`{(9x-2x=7x),(-2-4-4=-10):}`

`=> 7x = -10`

• Divide both sides by the coefficient of `x` to isolate `x`.

`color(red)(7)x = -10`

`(7x)/color(red)(7) = (-10)/color(red)(7)`

`x = -10/7`