2(x+8)+4(9x-6)=11

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Solution for 2(x+8)+4(9x-6)=11 equation: 


Simplifying
2(x + 8) + 4(9x + -6) = 11

Reorder the terms:
2(8 + x) + 4(9x + -6) = 11
(8 * 2 + x * 2) + 4(9x + -6) = 11
(16 + 2x) + 4(9x + -6) = 11

Reorder the terms:
16 + 2x + 4(-6 + 9x) = 11
16 + 2x + (-6 * 4 + 9x * 4) = 11
16 + 2x + (-24 + 36x) = 11

Reorder the terms:
16 + -24 + 2x + 36x = 11

Combine like terms: 16 + -24 = -8
-8 + 2x + 36x = 11

Combine like terms: 2x + 36x = 38x
-8 + 38x = 11

Solving
-8 + 38x = 11

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 38x = 11 + 8

Combine like terms: -8 + 8 = 0
0 + 38x = 11 + 8
38x = 11 + 8

Combine like terms: 11 + 8 = 19
38x = 19

Divide each side by '38'.
x = 0.5

Simplifying
x = 0.5

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