6(3.5x+3)+5(1.6x+1.8)=85

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Solution for 6(3.5x+3)+5(1.6x+1.8)=85 equation:


Simplifying
6(3.5x + 3) + 5(1.6x + 1.8) = 85

Reorder the terms:
6(3 + 3.5x) + 5(1.6x + 1.8) = 85
(3 * 6 + 3.5x * 6) + 5(1.6x + 1.8) = 85
(18 + 21x) + 5(1.6x + 1.8) = 85

Reorder the terms:
18 + 21x + 5(1.8 + 1.6x) = 85
18 + 21x + (1.8 * 5 + 1.6x * 5) = 85
18 + 21x + (9 + 8x) = 85

Reorder the terms:
18 + 9 + 21x + 8x = 85

Combine like terms: 18 + 9 = 27
27 + 21x + 8x = 85

Combine like terms: 21x + 8x = 29x
27 + 29x = 85

Solving
27 + 29x = 85

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 29x = 85 + -27

Combine like terms: 27 + -27 = 0
0 + 29x = 85 + -27
29x = 85 + -27

Combine like terms: 85 + -27 = 58
29x = 58

Divide each side by '29'.
x = 2

Simplifying
x = 2

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