What is the solution to the equation 5 (x minus 6) = 2 (x + 3)? x =

Question

asked Jul 27, 2021 186k views

2 Answers

Chu Yeow · Answer 1 · 2021-07-31T23:32:14+0000

Answer:

x = 12

Explanation:

Solve for x:

$\longrightarrow$ 5 (x - 6) = 2(x + 3)

Expand out terms of the left hand side:

$\longrightarrow$ 5x - 30 = 2(x + 3)

Expand out terms of the right hand side:

$\longrightarrow$ 5x - 30 = 2x + 6

Subtract 2x from both sides:

$\longrightarrow$ (5x - 2x) - 30 = (2x - 2x) + 6

5x - 2x = 3x:

$\longrightarrow$ 3x - 30 = (2x - 2x) + 6

2x - 2x = 0:

$\longrightarrow$ 3x - 30 = 6

Add 30 to both sides:

$\longrightarrow$ 3x + (30 - 30) = 30 + 6

30 - 30 = 0:

$\longrightarrow$ 3x = 6 + 30

6 + 30 = 36:

$\longrightarrow$ 3x = 36

Divide both sides of 3x = 36 by 3:

$\longrightarrow$
$\sf (3)/(3)x = (36)/(3)$

$\sf (3)/(3) = 1:$

$\longrightarrow$
$\sf x = (36)/(3)$

$\sf (36)/(3) = 12:$

$\longrightarrow$ x = 12