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

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


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

Reorder the terms:
2(4 + x) = 6(x + -5)
(4 * 2 + x * 2) = 6(x + -5)
(8 + 2x) = 6(x + -5)

Reorder the terms:
8 + 2x = 6(-5 + x)
8 + 2x = (-5 * 6 + x * 6)
8 + 2x = (-30 + 6x)

Solving
8 + 2x = -30 + 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.
8 + 2x + -6x = -30 + 6x + -6x

Combine like terms: 2x + -6x = -4x
8 + -4x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -4x = -30 + 0
8 + -4x = -30

Add '-8' to each side of the equation.
8 + -8 + -4x = -30 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -30 + -8
-4x = -30 + -8

Combine like terms: -30 + -8 = -38
-4x = -38

Divide each side by '-4'.
x = 9.5

Simplifying
x = 9.5

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