3.7(2.1x+1.7)=86.2+0.85x

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Solution for 3.7(2.1x+1.7)=86.2+0.85x equation: 


Simplifying
3.7(2.1x + 1.7) = 86.2 + 0.85x

Reorder the terms:
3.7(1.7 + 2.1x) = 86.2 + 0.85x
(1.7 * 3.7 + 2.1x * 3.7) = 86.2 + 0.85x
(6.29 + 7.77x) = 86.2 + 0.85x

Solving
6.29 + 7.77x = 86.2 + 0.85x

Solving for variable 'x'.

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

Add '-0.85x' to each side of the equation.
6.29 + 7.77x + -0.85x = 86.2 + 0.85x + -0.85x

Combine like terms: 7.77x + -0.85x = 6.92x
6.29 + 6.92x = 86.2 + 0.85x + -0.85x

Combine like terms: 0.85x + -0.85x = 0.00
6.29 + 6.92x = 86.2 + 0.00
6.29 + 6.92x = 86.2

Add '-6.29' to each side of the equation.
6.29 + -6.29 + 6.92x = 86.2 + -6.29

Combine like terms: 6.29 + -6.29 = 0.00
0.00 + 6.92x = 86.2 + -6.29
6.92x = 86.2 + -6.29

Combine like terms: 86.2 + -6.29 = 79.91
6.92x = 79.91

Divide each side by '6.92'.
x = 11.54768786

Simplifying
x = 11.54768786

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