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

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


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

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

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

Reorder the terms for easier multiplication:
2 + 4x = 2 * 3x

Multiply 2 * 3
2 + 4x = 6x

Solving
2 + 4x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 4x + -6x = 6x + -6x

Combine like terms: 4x + -6x = -2x
2 + -2x = 6x + -6x

Combine like terms: 6x + -6x = 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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