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

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


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

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

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

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

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

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

Solving
1 + 4x = 4 + x

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

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

Combine like terms: x + -1x = 0
1 + 3x = 4 + 0
1 + 3x = 4

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

Combine like terms: 1 + -1 = 0
0 + 3x = 4 + -1
3x = 4 + -1

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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