Question

Solve the following equation and check the result: 6(x+5)-12=3(3x-1)+4x

Answer 1

Given,

⇒ 6( x + 5 ) - 12 = 3( 3x - 1 ) + 4x

⇒ 6x + 30 - 12 = 9x - 3 + 4x

⇒ 6x + 18 = 13x - 3

⇒ 6x - 13x = -3 - 18

⇒ -7x = -21

⇒ x = ( -21 ) ÷ ( -7 )

•°• x = 3

Check :

⇒ 6( x + 5 ) - 12 = 3( 3x - 1 ) + 4x

Substitute the value of x = 3,

⇒ 6( 3 + 5 ) - 12 = 3( 3 × 3 - 1 ) + 4× 3

⇒ 6 ( 8 ) - 12 = 3( 9 - 1 ) + 12

⇒ 48 - 12 = 3( 8 ) + 12

⇒ 36 = 24 + 12

•°• 36 = 36

Checked !!

The value of x is 3.

Answer 2

Answer:

$6(x + 5) - 12 = 3(3x - 1) + 4x \\ \\ = 6x + 30 - 12 = 9x - 3 + 4x \\ \\ = 6x - 28 = 5x - 3 \\ \\ = 6x - 5x = - 3 + 28 \\ \\ x = 25$