Which value of x makes the equation -5x-(-7-4x) =-2(3x-4 true?

Mathematics

1 answer:

Ludmilka [50]3 years ago

5 0

Answer:

x = 1/5

Step-by-step explanation:

Step 1: Write equation

-5x - (-7 - 4x) = -2(3x - 4)

Step 2: Solve for x

Distribute: -5x + 7 + 4x = -6x + 8
Combine like terms: -x + 7 = -6x + 8
Add 6x to both sides: 5x + 7 = 8
Subtract 7 on both sides: 5x = 1
Divide by 5 on both sides: x = 1/5

Step 3: Check

Plug in x to verify it's a solution.

-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)

-1 - (-7 - 4/5) = -2(3/5 - 4)

-1 - (-39/5) = -2(-17/5)

-1 + 39/5 = 34/5

34/5 = 34/5

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