4(x+5)=(x-6)

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


Simplifying
4(x + 5) = (x + -6)

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

Reorder the terms:
20 + 4x = (-6 + x)

Remove parenthesis around (-6 + x)
20 + 4x = -6 + x

Solving
20 + 4x = -6 + 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.
20 + 4x + -1x = -6 + x + -1x

Combine like terms: 4x + -1x = 3x
20 + 3x = -6 + x + -1x

Combine like terms: x + -1x = 0
20 + 3x = -6 + 0
20 + 3x = -6

Add '-20' to each side of the equation.
20 + -20 + 3x = -6 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = -6 + -20
3x = -6 + -20

Combine like terms: -6 + -20 = -26
3x = -26

Divide each side by '3'.
x = -8.666666667

Simplifying
x = -8.666666667

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