Question

Solve for x:
5x + 2(11-4x) = 82 + x

Answer 1

x=−15

Explanation:

Rearrange terms:

• 5x + 2(11 - 4x) = 82 + x
• 5x + 2(- 4x + 11) = 82 + x
• Distribute:

• 5x + 2(- 4x + 11) = 82 + x
• 5x - 8x + 22 = 82 + x
• Combine like terms:

• 5x - 8x + 22 = 82 + x
• - 3x + 22 = 82 + x

Rearrange terms:

• - 3x + 22 = 82 + x
• - 3x + 22 = x + 82

Subtract 22 from both sides:

• - 3x + 22 = x + 82
• - 3x + 22 - 22 = x + 82 - 22

Simplify:

• Subtract the numbers
• Subtract the numbers
• -3x = x + 60

Subtract x from both sides:

• -3x=x+6 x = x + 60
• -3x-x = x + 60-x
• Simplify:

• Combine like terms
• Combine like terms
• -4x = 60

Divide both sides by the same factor

• -4x = 60
• -4x/-4 60/-4

Simplify

• Cancel terms that are in both the numerator and denominator
• Divide the numbers
• x = -15

Answer 2

we develop

5x + 2(11-4x) = 82 + x

5x+22-8x=82+x

we reduce

-3x+22 =82+x

we solve

-3x-x=82-22

-4x=60

x=-15

Explanation: