-11(x+4)=10+6(x+8)

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Solution for -11(x+4)=10+6(x+8) equation:


Simplifying
-11(x + 4) = 10 + 6(x + 8)

Reorder the terms:
-11(4 + x) = 10 + 6(x + 8)
(4 * -11 + x * -11) = 10 + 6(x + 8)
(-44 + -11x) = 10 + 6(x + 8)

Reorder the terms:
-44 + -11x = 10 + 6(8 + x)
-44 + -11x = 10 + (8 * 6 + x * 6)
-44 + -11x = 10 + (48 + 6x)

Combine like terms: 10 + 48 = 58
-44 + -11x = 58 + 6x

Solving
-44 + -11x = 58 + 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.
-44 + -11x + -6x = 58 + 6x + -6x

Combine like terms: -11x + -6x = -17x
-44 + -17x = 58 + 6x + -6x

Combine like terms: 6x + -6x = 0
-44 + -17x = 58 + 0
-44 + -17x = 58

Add '44' to each side of the equation.
-44 + 44 + -17x = 58 + 44

Combine like terms: -44 + 44 = 0
0 + -17x = 58 + 44
-17x = 58 + 44

Combine like terms: 58 + 44 = 102
-17x = 102

Divide each side by '-17'.
x = -6

Simplifying
x = -6

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