2(X+4)-1=6(X+1)-(4x-1)

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Solution for 2(X+4)-1=6(X+1)-(4x-1) equation:


Simplifying
2(X + 4) + -1 = 6(X + 1) + -1(4x + -1)

Reorder the terms:
2(4 + X) + -1 = 6(X + 1) + -1(4x + -1)
(4 * 2 + X * 2) + -1 = 6(X + 1) + -1(4x + -1)
(8 + 2X) + -1 = 6(X + 1) + -1(4x + -1)

Reorder the terms:
8 + -1 + 2X = 6(X + 1) + -1(4x + -1)

Combine like terms: 8 + -1 = 7
7 + 2X = 6(X + 1) + -1(4x + -1)

Reorder the terms:
7 + 2X = 6(1 + X) + -1(4x + -1)
7 + 2X = (1 * 6 + X * 6) + -1(4x + -1)
7 + 2X = (6 + 6X) + -1(4x + -1)

Reorder the terms:
7 + 2X = 6 + 6X + -1(-1 + 4x)
7 + 2X = 6 + 6X + (-1 * -1 + 4x * -1)
7 + 2X = 6 + 6X + (1 + -4x)

Reorder the terms:
7 + 2X = 6 + 1 + 6X + -4x

Combine like terms: 6 + 1 = 7
7 + 2X = 7 + 6X + -4x

Add '-7' to each side of the equation.
7 + -7 + 2X = 7 + 6X + -7 + -4x

Combine like terms: 7 + -7 = 0
0 + 2X = 7 + 6X + -7 + -4x
2X = 7 + 6X + -7 + -4x

Reorder the terms:
2X = 7 + -7 + 6X + -4x

Combine like terms: 7 + -7 = 0
2X = 0 + 6X + -4x
2X = 6X + -4x

Solving
2X = 6X + -4x

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.
2X + -6X = 6X + -6X + -4x

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

Combine like terms: 6X + -6X = 0
-4X = 0 + -4x
-4X = -4x

Divide each side by '-4'.
X = x

Simplifying
X = x

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