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

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


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

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

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

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

Remove parenthesis around (1 + 2x)
-2 + 4x = 1 + 2x

Solving
-2 + 4x = 1 + 2x

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.
-2 + 4x + -2x = 1 + 2x + -2x

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

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

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

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

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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