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SOVA2 [1]
4 years ago
15

Solve for x. 5(x + 3)= 4(x -3)

Mathematics
2 answers:
Sergeeva-Olga [200]4 years ago
6 0

Answer:

x = -27

Step-by-step explanation:

Simplifying

5(x + 3) = 4(x + -3)

Reorder the terms:

5(3 + x) = 4(x + -3)

(3 * 5 + x * 5) = 4(x + -3)

(15 + 5x) = 4(x + -3)

Reorder the terms:

15 + 5x = 4(-3 + x)

15 + 5x = (-3 * 4 + x * 4)

15 + 5x = (-12 + 4x)

Solving

15 + 5x = -12 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

15 + 5x + -4x = -12 + 4x + -4x

Combine like terms: 5x + -4x = 1x

15 + 1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0

15 + 1x = -12 + 0

15 + 1x = -12

Add '-15' to each side of the equation.

15 + -15 + 1x = -12 + -15

Combine like terms: 15 + -15 = 0

0 + 1x = -12 + -15

1x = -12 + -15

Combine like terms: -12 + -15 = -27

1x = -27

Divide each side by '1'.

MrMuchimi4 years ago
6 0

Answer:

x = -27

Step-by-step explanation:

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Please help asapppp!!!!
Pavlova-9 [17]

Answer:

The only option 3 is correct

Step-by-step explanation:

See the given diagram.

1. ∠ D = ∠ B {Since AB ║ DE and DB is transverse line. So, they are alternate angles.}

So, ∠ D = 43° ≠ 28°

2. Now, ∠ A = ∠ CED {Again they are alternate angles}

⇒ ∠ A = ∠ CED = 180° - ∠ CEF = 180° - 152° = 28° ≠ 43°.

3. Again, ∠ ACD = 180° - ∠ ACB = ∠ A + ∠ B = 28° + 43° = 71°.

4. ∠ BCE = ∠ ACD {Vertically opposite angles}

⇒ ∠ BCE = 71° ≠ 109°

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3 years ago
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3 years ago
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Korolek [52]

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Step-by-step explanation:

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Step-by-step explanation:

Hey there!

Simply work with it.

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