What is the answer to 2x(x+1)+5=x(2x-3)+5(x+1) ?

The answer to 2x(x+1)+5=x(2x-3)+5(x+1) is True for all x

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

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

True for all x

Solution steps

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

Expand

2 x (x + 1) : 2 x^{2} + 2 x

2 x^{2} + 2 x + 5 = x (2 x - 3) + 5 (x + 1)

Expand

x (2 x - 3) : 2 x^{2} - 3 x

2 x^{2} + 2 x + 5 = 2 x^{2} - 3 x + 5 (x + 1)

Expand

5 (x + 1) : 5 x + 5

2 x^{2} + 2 x + 5 = 2 x^{2} - 3 x + 5 x + 5

Add similar elements:

- 3 x + 5 x = 2 x

2 x^{2} + 2 x + 5 = 2 x^{2} + 2 x + 5

Move

5

to the right side

2 x^{2} + 2 x = 2 x^{2} + 2 x

Subtract

2 x^{2} + 2 x

from both sides

2 x^{2} + 2 x - (2 x^{2} + 2 x) = 2 x^{2} + 2 x - (2 x^{2} + 2 x)

Simplify

0 = 0

Both sides are equal

True for all x

2 x + 6 (5 x - 5) = 130

- 1 \frac{3}{10} = x - \frac{1}{2}

5 = 5 m - 23 + 2 m

0.6 (5 r - 4) + r = 3 (7 - 3 r)

2 v + 8 - 5 v = - 28

What is the answer to 2x(x+1)+5=x(2x-3)+5(x+1) ?
The answer to 2x(x+1)+5=x(2x-3)+5(x+1) is True for all x
Solve for x: 2x(x+1)+5=x(2x-3)+5(x+1)
The solution is True for all x