Question

3(x+5)=8x+14-3(2x-1
solve the equation​

Answer 1

Answer:

Simplifying

3(x + 5) = 8x + 14 + -3(2x + -1)

Reorder the terms:

3(5 + x) = 8x + 14 + -3(2x + -1)

(5 * 3 + x * 3) = 8x + 14 + -3(2x + -1)

(15 + 3x) = 8x + 14 + -3(2x + -1)

Reorder the terms:

15 + 3x = 8x + 14 + -3(-1 + 2x)

15 + 3x = 8x + 14 + (-1 * -3 + 2x * -3)

15 + 3x = 8x + 14 + (3 + -6x)

Reorder the terms:

15 + 3x = 14 + 3 + 8x + -6x

Combine like terms: 14 + 3 = 17

15 + 3x = 17 + 8x + -6x

Combine like terms: 8x + -6x = 2x

15 + 3x = 17 + 2x

Solving

15 + 3x = 17 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.

15 + 3x + -2x = 17 + 2x + -2x

Combine like terms: 3x + -2x = 1x

15 + 1x = 17 + 2x + -2x

Combine like terms: 2x + -2x = 0

15 + 1x = 17 + 0

15 + 1x = 17

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

15 + -15 + 1x = 17 + -15

Combine like terms: 15 + -15 = 0

0 + 1x = 17 + -15

1x = 17 + -15

Combine like terms: 17 + -15 = 2

1x = 2

Divide each side by '1'.

x = 2

Simplifying

x = 2

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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