Question

If 2x-3y+5-(x-3y)=11-2x, what is the value of x?

Answer 1

Answer:

$x=2$

Step-by-step explanation:

$2x-3y+5-\left(x-3y\right)=11-2x$

Remove brackets and flip the sign in the brackets:

$2x-3y+5-x+3y=11-2x$

Group the similar terms together:

$-3y+3y+2x-x+5=11-2x$

Add/subtract the terms:

$x+5=11-2x$

Subtract 5 from both sides:

$x+5-5=11-2x-5$

$x=-2x+6$

Add 2x to both sides:

$x+2x=-2x+6+2x$

$3x=6$

Divide both sides by 3:

$\frac{3x}{3}=\frac{6}{3}$

$x=2$