(x+6)-(x-7)=(4x+20)-(3+5x)

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Solution for (x+6)-(x-7)=(4x+20)-(3+5x) equation:


Simplifying
(x + 6) + -1(x + -7) = (4x + 20) + -1(3 + 5x)

Reorder the terms:
(6 + x) + -1(x + -7) = (4x + 20) + -1(3 + 5x)

Remove parenthesis around (6 + x)
6 + x + -1(x + -7) = (4x + 20) + -1(3 + 5x)

Reorder the terms:
6 + x + -1(-7 + x) = (4x + 20) + -1(3 + 5x)
6 + x + (-7 * -1 + x * -1) = (4x + 20) + -1(3 + 5x)
6 + x + (7 + -1x) = (4x + 20) + -1(3 + 5x)

Reorder the terms:
6 + 7 + x + -1x = (4x + 20) + -1(3 + 5x)

Combine like terms: 6 + 7 = 13
13 + x + -1x = (4x + 20) + -1(3 + 5x)

Combine like terms: x + -1x = 0
13 + 0 = (4x + 20) + -1(3 + 5x)
13 = (4x + 20) + -1(3 + 5x)

Reorder the terms:
13 = (20 + 4x) + -1(3 + 5x)

Remove parenthesis around (20 + 4x)
13 = 20 + 4x + -1(3 + 5x)
13 = 20 + 4x + (3 * -1 + 5x * -1)
13 = 20 + 4x + (-3 + -5x)

Reorder the terms:
13 = 20 + -3 + 4x + -5x

Combine like terms: 20 + -3 = 17
13 = 17 + 4x + -5x

Combine like terms: 4x + -5x = -1x
13 = 17 + -1x

Solving
13 = 17 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
13 + x = 17 + -1x + x

Combine like terms: -1x + x = 0
13 + x = 17 + 0
13 + x = 17

Add '-13' to each side of the equation.
13 + -13 + x = 17 + -13

Combine like terms: 13 + -13 = 0
0 + x = 17 + -13
x = 17 + -13

Combine like terms: 17 + -13 = 4
x = 4

Simplifying
x = 4

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