-217.636=6.2(-2.3-5.3x)+6.1x

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Solution for -217.636=6.2(-2.3-5.3x)+6.1x equation: 


Simplifying
-217.636 = 6.2(-2.3 + -5.3x) + 6.1x
-217.636 = (-2.3 * 6.2 + -5.3x * 6.2) + 6.1x
-217.636 = (-14.26 + -32.86x) + 6.1x

Combine like terms: -32.86x + 6.1x = -26.76x
-217.636 = -14.26 + -26.76x

Solving
-217.636 = -14.26 + -26.76x

Solving for variable 'x'.

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

Add '26.76x' to each side of the equation.
-217.636 + 26.76x = -14.26 + -26.76x + 26.76x

Combine like terms: -26.76x + 26.76x = 0.00
-217.636 + 26.76x = -14.26 + 0.00
-217.636 + 26.76x = -14.26

Add '217.636' to each side of the equation.
-217.636 + 217.636 + 26.76x = -14.26 + 217.636

Combine like terms: -217.636 + 217.636 = 0.000
0.000 + 26.76x = -14.26 + 217.636
26.76x = -14.26 + 217.636

Combine like terms: -14.26 + 217.636 = 203.376
26.76x = 203.376

Divide each side by '26.76'.
x = 7.6

Simplifying
x = 7.6

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