Question

Solve for x 9(x+1)=25+x X=2 X=3 X=4 X=5

Answer 1

Answer:

X=2

Step-by-step explanation:

9(x+1)=25+x

Step 1: Simplify both sides of the equation.

9(x+1)=25+x

(9)(x)+(9)(1)=25+x(Distribute)

9x+9=25+x

9x+9=x+25

Step 2: Subtract x from both sides.

9x+9−x=x+25−x

8x+9=25

Step 3: Subtract 9 from both sides.

8x+9−9=25−9

8x=16

Step 4: Divide both sides by 8.

8x/8=16/8

X=2

Answer 2

Answer:

x = 2

Step-by-step explanation:

The answer to the question above is solved below.

$9(x + 1) = 25 + x$

Expand the left hand side of the equation by removing the brackets. Thus we have: 9 × x + 9 × 1 as expressed below.

$9x + 9 = 25 + x$

Collect like term. When collecting like terms, +9 and +x change to -9 and -x. Thus:

$9x - x = 25 - 9$

$8x = 16$

To get the value of x, we divide through by the coefficient of x which is 8. Thus:

$\frac{8x}{8} = \frac{16}{8}$

$x = 2$

Check,

$9(x + 1) = 25 + x$

$9x + 9 = 25 + x$

Since x = 2

$9(2) + 9 = 25 + 2$

$18 + 9 = 25 + 2$

$27 = 27$

Therefore, x = 2 is justified to be correct.