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Zorluk: OrtaSolving One-Variable Linear Equations

Determine the value of hh that satisfies the equation below:

5−2(3h−4)=6h−4(h+4)−3 5 - 2(3h - 4) = 6h - 4(h + 4) - 3

Cevap: 4

Cevap

The correct value is 4.
The equation is solved by first distributing the coefficients across the parentheses, which yields 5−6h+8=6h−4h−16−35 - 6h + 8 = 6h - 4h - 16 - 3. Combining like terms on both sides simplifies the equation to 13−6h=2h−1913 - 6h = 2h - 19. Adding 6h6h and 1919 to both sides isolates the variable, resulting in 32=8h32 = 8h. Dividing by 88 gives the final answer of 44.

Adım Adım Çözüm

1
Apply the distributive property.
5−6h+8=6h−4h−16−35 - 6h + 8 = 6h - 4h - 16 - 3
Multiply the terms inside the parentheses by their outside coefficients, carefully distributing the negative signs.
2
Combine like terms on the left side.
13−6h=6h−4h−16−313 - 6h = 6h - 4h - 16 - 3
Combine the constant terms 55 and 88.
3
Combine like terms on the right side.
13−6h=2h−1913 - 6h = 2h - 19
Combine the variable terms (6h−4h=2h6h - 4h = 2h) and the constant terms (−16−3=−19-16 - 3 = -19).
4
Isolate the variable hh.
13+19=2h+6h13 + 19 = 2h + 6h
Add 6h6h to both sides and add 1919 to both sides to group the variables and constants.
5
Solve for the final value.
32=8h→h=432 = 8h \rightarrow h = 4
Simplify the addition and divide by 88 to find hh.

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Solving One-Variable Linear Equations
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Solving One-Variable Linear Equations

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