8(7x+2)=5(4x+1)+17

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Solution for 8(7x+2)=5(4x+1)+17 equation: 


Simplifying
8(7x + 2) = 5(4x + 1) + 17

Reorder the terms:
8(2 + 7x) = 5(4x + 1) + 17
(2 * 8 + 7x * 8) = 5(4x + 1) + 17
(16 + 56x) = 5(4x + 1) + 17

Reorder the terms:
16 + 56x = 5(1 + 4x) + 17
16 + 56x = (1 * 5 + 4x * 5) + 17
16 + 56x = (5 + 20x) + 17

Reorder the terms:
16 + 56x = 5 + 17 + 20x

Combine like terms: 5 + 17 = 22
16 + 56x = 22 + 20x

Solving
16 + 56x = 22 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
16 + 56x + -20x = 22 + 20x + -20x

Combine like terms: 56x + -20x = 36x
16 + 36x = 22 + 20x + -20x

Combine like terms: 20x + -20x = 0
16 + 36x = 22 + 0
16 + 36x = 22

Add '-16' to each side of the equation.
16 + -16 + 36x = 22 + -16

Combine like terms: 16 + -16 = 0
0 + 36x = 22 + -16
36x = 22 + -16

Combine like terms: 22 + -16 = 6
36x = 6

Divide each side by '36'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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