-4(x+6)=6(x+2)+5

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Solution for -4(x+6)=6(x+2)+5 equation:


Simplifying
-4(x + 6) = 6(x + 2) + 5

Reorder the terms:
-4(6 + x) = 6(x + 2) + 5
(6 * -4 + x * -4) = 6(x + 2) + 5
(-24 + -4x) = 6(x + 2) + 5

Reorder the terms:
-24 + -4x = 6(2 + x) + 5
-24 + -4x = (2 * 6 + x * 6) + 5
-24 + -4x = (12 + 6x) + 5

Reorder the terms:
-24 + -4x = 12 + 5 + 6x

Combine like terms: 12 + 5 = 17
-24 + -4x = 17 + 6x

Solving
-24 + -4x = 17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-24 + -4x + -6x = 17 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-24 + -10x = 17 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + -10x = 17 + 0
-24 + -10x = 17

Add '24' to each side of the equation.
-24 + 24 + -10x = 17 + 24

Combine like terms: -24 + 24 = 0
0 + -10x = 17 + 24
-10x = 17 + 24

Combine like terms: 17 + 24 = 41
-10x = 41

Divide each side by '-10'.
x = -4.1

Simplifying
x = -4.1

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