Question

Solve the following equations.
17 (x +4) + 8 ( x +6) = 11( x +5)+15 (x+3)
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Answer 1

Answer:

17(x+4)+8(x+6)=11(x+5)+15(x+3)

Step 1: Simplify both sides of the equation.

17(x+4)+8(x+6)=11(x+5)+15(x+3)

(17)(x)+(17)(4)+(8)(x)+(8)(6)=(11)(x)+(11)(5)+(15)(x)+(15)(3)(Distribute)

17x+68+8x+48=11x+55+15x+45

(17x+8x)+(68+48)=(11x+15x)+(55+45)(Combine Like Terms)

25x+116=26x+100

25x+116=26x+100

Step 2: Subtract 26x from both sides.

25x+116−26x=26x+100−26x

−x+116=100

Step 3: Subtract 116 from both sides.

−x+116−116=100−116

−x=−16

Step 4: Divide both sides by -1.

−x−1=−16−1

x=16

Step-by-step explanation:

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Answer 2

17(x + 4) + 8(x + 6) = 11(x + 5) + 15(x + 3)  ∴ 17x + 68 + 8x + 48 = 11x + 55 + 15x + 45  ∴ 17x + 8x + 68 + 48 = 11x + 15x + 55 + 45  ∴ 25x + 116 = 26x + 100  ∴ 25x + 116 – 116 = 26x + 100 – 116 … [Subtracting 116 from both the sides]  ∴ 25x = 26x – 16  ∴ 25x – 26x = 26x – 16 – 26x