502(x+3)+3.7(2-x)=3

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Solution for 502(x+3)+3.7(2-x)=3 equation: 


Simplifying
502(x + 3) + 3.7(2 + -1x) = 3

Reorder the terms:
502(3 + x) + 3.7(2 + -1x) = 3
(3 * 502 + x * 502) + 3.7(2 + -1x) = 3
(1506 + 502x) + 3.7(2 + -1x) = 3
1506 + 502x + (2 * 3.7 + -1x * 3.7) = 3
1506 + 502x + (7.4 + -3.7x) = 3

Reorder the terms:
1506 + 7.4 + 502x + -3.7x = 3

Combine like terms: 1506 + 7.4 = 1513.4
1513.4 + 502x + -3.7x = 3

Combine like terms: 502x + -3.7x = 498.3x
1513.4 + 498.3x = 3

Solving
1513.4 + 498.3x = 3

Solving for variable 'x'.

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

Add '-1513.4' to each side of the equation.
1513.4 + -1513.4 + 498.3x = 3 + -1513.4

Combine like terms: 1513.4 + -1513.4 = 0.0
0.0 + 498.3x = 3 + -1513.4
498.3x = 3 + -1513.4

Combine like terms: 3 + -1513.4 = -1510.4
498.3x = -1510.4

Divide each side by '498.3'.
x = -3.03110576

Simplifying
x = -3.03110576

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