(X+2)(x+5)=3x+10

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Solution for (X+2)(x+5)=3x+10 equation:


Simplifying
(X + 2)(x + 5) = 3x + 10

Reorder the terms:
(2 + X)(x + 5) = 3x + 10

Reorder the terms:
(2 + X)(5 + x) = 3x + 10

Multiply (2 + X) * (5 + x)
(2(5 + x) + X(5 + x)) = 3x + 10
((5 * 2 + x * 2) + X(5 + x)) = 3x + 10
((10 + 2x) + X(5 + x)) = 3x + 10
(10 + 2x + (5 * X + x * X)) = 3x + 10
(10 + 2x + (5X + xX)) = 3x + 10

Reorder the terms:
(10 + 5X + 2x + xX) = 3x + 10
(10 + 5X + 2x + xX) = 3x + 10

Reorder the terms:
10 + 5X + 2x + xX = 10 + 3x

Add '-10' to each side of the equation.
10 + 5X + 2x + -10 + xX = 10 + -10 + 3x

Reorder the terms:
10 + -10 + 5X + 2x + xX = 10 + -10 + 3x

Combine like terms: 10 + -10 = 0
0 + 5X + 2x + xX = 10 + -10 + 3x
5X + 2x + xX = 10 + -10 + 3x

Combine like terms: 10 + -10 = 0
5X + 2x + xX = 0 + 3x
5X + 2x + xX = 3x

Solving
5X + 2x + xX = 3x

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.
5X + 2x + -2x + xX = 3x + -2x

Combine like terms: 2x + -2x = 0
5X + 0 + xX = 3x + -2x
5X + xX = 3x + -2x

Combine like terms: 3x + -2x = 1x
5X + xX = 1x

Reorder the terms:
5X + -1x + xX = 1x + -1x

Combine like terms: 1x + -1x = 0
5X + -1x + xX = 0

The solution to this equation could not be determined.

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