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

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


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

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

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

Reorder the terms:
41 + -6x = 5(5 + x) + -6
41 + -6x = (5 * 5 + x * 5) + -6
41 + -6x = (25 + 5x) + -6

Reorder the terms:
41 + -6x = 25 + -6 + 5x

Combine like terms: 25 + -6 = 19
41 + -6x = 19 + 5x

Solving
41 + -6x = 19 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
41 + -6x + -5x = 19 + 5x + -5x

Combine like terms: -6x + -5x = -11x
41 + -11x = 19 + 5x + -5x

Combine like terms: 5x + -5x = 0
41 + -11x = 19 + 0
41 + -11x = 19

Add '-41' to each side of the equation.
41 + -41 + -11x = 19 + -41

Combine like terms: 41 + -41 = 0
0 + -11x = 19 + -41
-11x = 19 + -41

Combine like terms: 19 + -41 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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