20-3(2x-7)=(x+5)-6

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Solution for 20-3(2x-7)=(x+5)-6 equation:


Simplifying
20 + -3(2x + -7) = (x + 5) + -6

Reorder the terms:
20 + -3(-7 + 2x) = (x + 5) + -6
20 + (-7 * -3 + 2x * -3) = (x + 5) + -6
20 + (21 + -6x) = (x + 5) + -6

Combine like terms: 20 + 21 = 41
41 + -6x = (x + 5) + -6

Reorder the terms:
41 + -6x = (5 + x) + -6

Remove parenthesis around (5 + x)
41 + -6x = 5 + x + -6

Reorder the terms:
41 + -6x = 5 + -6 + x

Combine like terms: 5 + -6 = -1
41 + -6x = -1 + x

Solving
41 + -6x = -1 + 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.
41 + -6x + -1x = -1 + x + -1x

Combine like terms: -6x + -1x = -7x
41 + -7x = -1 + x + -1x

Combine like terms: x + -1x = 0
41 + -7x = -1 + 0
41 + -7x = -1

Add '-41' to each side of the equation.
41 + -41 + -7x = -1 + -41

Combine like terms: 41 + -41 = 0
0 + -7x = -1 + -41
-7x = -1 + -41

Combine like terms: -1 + -41 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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