4x-1=2x+1(x+2)

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Solution for 4x-1=2x+1(x+2) equation:


Simplifying
4x + -1 = 2x + 1(x + 2)

Reorder the terms:
-1 + 4x = 2x + 1(x + 2)

Reorder the terms:
-1 + 4x = 2x + 1(2 + x)
-1 + 4x = 2x + (2 * 1 + x * 1)
-1 + 4x = 2x + (2 + 1x)

Reorder the terms:
-1 + 4x = 2 + 2x + 1x

Combine like terms: 2x + 1x = 3x
-1 + 4x = 2 + 3x

Solving
-1 + 4x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 4x + -3x = 2 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-1 + 1x = 2 + 3x + -3x

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

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

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

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

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