86=3x+4(2x+5)

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Solution for 86=3x+4(2x+5) equation:


Simplifying
86 = 3x + 4(2x + 5)

Reorder the terms:
86 = 3x + 4(5 + 2x)
86 = 3x + (5 * 4 + 2x * 4)
86 = 3x + (20 + 8x)

Reorder the terms:
86 = 20 + 3x + 8x

Combine like terms: 3x + 8x = 11x
86 = 20 + 11x

Solving
86 = 20 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
86 + -11x = 20 + 11x + -11x

Combine like terms: 11x + -11x = 0
86 + -11x = 20 + 0
86 + -11x = 20

Add '-86' to each side of the equation.
86 + -86 + -11x = 20 + -86

Combine like terms: 86 + -86 = 0
0 + -11x = 20 + -86
-11x = 20 + -86

Combine like terms: 20 + -86 = -66
-11x = -66

Divide each side by '-11'.
x = 6

Simplifying
x = 6

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