(2x+1)-(x+6)=(4x-13)-(2x-1)

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Solution for (2x+1)-(x+6)=(4x-13)-(2x-1) equation:


Simplifying
(2x + 1) + -1(x + 6) = (4x + -13) + -1(2x + -1)

Reorder the terms:
(1 + 2x) + -1(x + 6) = (4x + -13) + -1(2x + -1)

Remove parenthesis around (1 + 2x)
1 + 2x + -1(x + 6) = (4x + -13) + -1(2x + -1)

Reorder the terms:
1 + 2x + -1(6 + x) = (4x + -13) + -1(2x + -1)
1 + 2x + (6 * -1 + x * -1) = (4x + -13) + -1(2x + -1)
1 + 2x + (-6 + -1x) = (4x + -13) + -1(2x + -1)

Reorder the terms:
1 + -6 + 2x + -1x = (4x + -13) + -1(2x + -1)

Combine like terms: 1 + -6 = -5
-5 + 2x + -1x = (4x + -13) + -1(2x + -1)

Combine like terms: 2x + -1x = 1x
-5 + 1x = (4x + -13) + -1(2x + -1)

Reorder the terms:
-5 + 1x = (-13 + 4x) + -1(2x + -1)

Remove parenthesis around (-13 + 4x)
-5 + 1x = -13 + 4x + -1(2x + -1)

Reorder the terms:
-5 + 1x = -13 + 4x + -1(-1 + 2x)
-5 + 1x = -13 + 4x + (-1 * -1 + 2x * -1)
-5 + 1x = -13 + 4x + (1 + -2x)

Reorder the terms:
-5 + 1x = -13 + 1 + 4x + -2x

Combine like terms: -13 + 1 = -12
-5 + 1x = -12 + 4x + -2x

Combine like terms: 4x + -2x = 2x
-5 + 1x = -12 + 2x

Solving
-5 + 1x = -12 + 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.
-5 + 1x + -2x = -12 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-5 + -1x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + -1x = -12 + 0
-5 + -1x = -12

Add '5' to each side of the equation.
-5 + 5 + -1x = -12 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -12 + 5
-1x = -12 + 5

Combine like terms: -12 + 5 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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