Question

An equation is shown below: 8(2x − 14) + 13 = 4x − 27 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points) Your answer:

Answer 1

$\large\sf\underline{↬\:Question}$

8(2x − 14) + 13 = 4x − 27

$\large\sf\underline{↬\:Solution}$

$\sf\:8(2x − 14) + 13 = 4x − 27$

$\sf\:Multiplying\:2x\:and\:14\:by\:8$

$\sf➪\:16x-112+13=4x-27$

$\sf➪\:16x-99=4x-27$

$\sf\:Shifting\:the\:terms\:containing\:x\:towards\:the\:left\:side$

$\sf➪\:16x-4x=99-27$

$\sf➪\:12x=72$

$\sf➪\:x=\frac{72}{12}$

$\sf➪\:x=6$

‎

$\sf\colorbox{cyan}{↬\:Verifying\:my\:answer\:as\:x=6}$

$\sf➪\:8(2x − 14) + 13 = 4x − 27$

$\sf➪\:8(2 \times 6 − 14) + 13 = 4 \times 6 − 27$

$\sf➪\:8(12-14)+13=24-27$

$\sf➪\:8 \times (-2)+13=-3$

$\sf➪\:-16+13=(-3)$

$\sf➪\:(-3)=(-3)$

$\large\fbox\red{☑ \:x=6\:verified}$