5x+2(11-4x)=13(82+x)

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Solution for 5x+2(11-4x)=13(82+x) equation: 


Simplifying
5x + 2(11 + -4x) = 13(82 + x)
5x + (11 * 2 + -4x * 2) = 13(82 + x)
5x + (22 + -8x) = 13(82 + x)

Reorder the terms:
22 + 5x + -8x = 13(82 + x)

Combine like terms: 5x + -8x = -3x
22 + -3x = 13(82 + x)
22 + -3x = (82 * 13 + x * 13)
22 + -3x = (1066 + 13x)

Solving
22 + -3x = 1066 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
22 + -3x + -13x = 1066 + 13x + -13x

Combine like terms: -3x + -13x = -16x
22 + -16x = 1066 + 13x + -13x

Combine like terms: 13x + -13x = 0
22 + -16x = 1066 + 0
22 + -16x = 1066

Add '-22' to each side of the equation.
22 + -22 + -16x = 1066 + -22

Combine like terms: 22 + -22 = 0
0 + -16x = 1066 + -22
-16x = 1066 + -22

Combine like terms: 1066 + -22 = 1044
-16x = 1044

Divide each side by '-16'.
x = -65.25

Simplifying
x = -65.25

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