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

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Solution for (2x-1)(x+2)=x(1+2x) equation:


Simplifying
(2x + -1)(x + 2) = x(1 + 2x)

Reorder the terms:
(-1 + 2x)(x + 2) = x(1 + 2x)

Reorder the terms:
(-1 + 2x)(2 + x) = x(1 + 2x)

Multiply (-1 + 2x) * (2 + x)
(-1(2 + x) + 2x * (2 + x)) = x(1 + 2x)
((2 * -1 + x * -1) + 2x * (2 + x)) = x(1 + 2x)
((-2 + -1x) + 2x * (2 + x)) = x(1 + 2x)
(-2 + -1x + (2 * 2x + x * 2x)) = x(1 + 2x)
(-2 + -1x + (4x + 2x2)) = x(1 + 2x)

Combine like terms: -1x + 4x = 3x
(-2 + 3x + 2x2) = x(1 + 2x)
-2 + 3x + 2x2 = (1 * x + 2x * x)
-2 + 3x + 2x2 = (1x + 2x2)

Add '-2x2' to each side of the equation.
-2 + 3x + 2x2 + -2x2 = 1x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + 3x + 0 = 1x + 2x2 + -2x2
-2 + 3x = 1x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + 3x = 1x + 0
-2 + 3x = 1x

Solving
-2 + 3x = 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 3x + -1x = 1x + -1x

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

Combine like terms: 1x + -1x = 0
-2 + 2x = 0

Add '2' to each side of the equation.
-2 + 2 + 2x = 0 + 2

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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