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Zorluk: OrtaSolving One-Variable Linear Equations

Solve the following linear equation for ww:

13(12w−9)+5=2(w−1)+8 \frac{1}{3}(12w - 9) + 5 = 2(w - 1) + 8

Enter the exact integer value that satisfies the equation.

Cevap:The value of ww is 【2】.

Cevap

2
By successfully distributing the factors, combining like terms on each side, and balancing the equation by moving variables and constants to opposite sides, the isolated variable equates to exactly 2.

Adım Adım Çözüm

1
Distribute the coefficients to remove parentheses on both sides of the equation.
4w−3+5=2w−2+84w - 3 + 5 = 2w - 2 + 8
Applying the distributive property simplifies the expression and exposes the variable terms.
2
Combine the constant terms on each side.
4w+2=2w+64w + 2 = 2w + 6
Simplifying each side makes it easier to balance the equation in the next steps.
3
Subtract 2w2w from both sides of the equation.
2w+2=62w + 2 = 6
This groups all the variable terms onto the left side.
4
Subtract 22 from both sides, then divide the result by 22.
2w=4⇒w=22w = 4 \Rightarrow w = 2
This completely isolates the variable ww to reveal its final value.

Anahtar Kavram

Solving One-Variable Linear Equations
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Konular

Solving One-Variable Linear Equations

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