2(x+3)+8(6-x)=2(x+11)

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Solution for 2(x+3)+8(6-x)=2(x+11) equation:


Simplifying
2(x + 3) + 8(6 + -1x) = 2(x + 11)

Reorder the terms:
2(3 + x) + 8(6 + -1x) = 2(x + 11)
(3 * 2 + x * 2) + 8(6 + -1x) = 2(x + 11)
(6 + 2x) + 8(6 + -1x) = 2(x + 11)
6 + 2x + (6 * 8 + -1x * 8) = 2(x + 11)
6 + 2x + (48 + -8x) = 2(x + 11)

Reorder the terms:
6 + 48 + 2x + -8x = 2(x + 11)

Combine like terms: 6 + 48 = 54
54 + 2x + -8x = 2(x + 11)

Combine like terms: 2x + -8x = -6x
54 + -6x = 2(x + 11)

Reorder the terms:
54 + -6x = 2(11 + x)
54 + -6x = (11 * 2 + x * 2)
54 + -6x = (22 + 2x)

Solving
54 + -6x = 22 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
54 + -6x + -2x = 22 + 2x + -2x

Combine like terms: -6x + -2x = -8x
54 + -8x = 22 + 2x + -2x

Combine like terms: 2x + -2x = 0
54 + -8x = 22 + 0
54 + -8x = 22

Add '-54' to each side of the equation.
54 + -54 + -8x = 22 + -54

Combine like terms: 54 + -54 = 0
0 + -8x = 22 + -54
-8x = 22 + -54

Combine like terms: 22 + -54 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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