Question

I got stuck with my math homeworkI was trying to figure these equations for 2 HOURS STRAIGHT (i gave up )

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation

$1-5\left(x-1\right)=2\left(2x-1\right)-x$

STEP 2: Simplify the equation

Expand the two sides of the equation

$\begin{gathered} 1-5(x-1)=2(2x-1)-x \\ 1-5x+5=4x-2-x \end{gathered}$

STEP 3: Simplify both sides

$\begin{gathered} -5x+6=3x-2 \\ \mathrm{Subtract\:}6\mathrm{\:from\:both\:sides} \\ -5x+6-6=3x-2-6 \\ -5x=3x-8 \\ \mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides} \\ -5x-3x=3x-8-3x \\ -8x=-8 \\ \mathrm{Divide\:both\:sides\:by\:}-8 \\ \frac{-8x}{-8}=\frac{-8}{-8} \\ \\ \therefore x=1 \end{gathered}$

Hence, the value of x is 1