2.4(3.1x+4.9)=75.9+.87x

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Solution for 2.4(3.1x+4.9)=75.9+.87x equation: 


Simplifying
2.4(3.1x + 4.9) = 75.9 + 0.87x

Reorder the terms:
2.4(4.9 + 3.1x) = 75.9 + 0.87x
(4.9 * 2.4 + 3.1x * 2.4) = 75.9 + 0.87x
(11.76 + 7.44x) = 75.9 + 0.87x

Solving
11.76 + 7.44x = 75.9 + 0.87x

Solving for variable 'x'.

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

Add '-0.87x' to each side of the equation.
11.76 + 7.44x + -0.87x = 75.9 + 0.87x + -0.87x

Combine like terms: 7.44x + -0.87x = 6.57x
11.76 + 6.57x = 75.9 + 0.87x + -0.87x

Combine like terms: 0.87x + -0.87x = 0.00
11.76 + 6.57x = 75.9 + 0.00
11.76 + 6.57x = 75.9

Add '-11.76' to each side of the equation.
11.76 + -11.76 + 6.57x = 75.9 + -11.76

Combine like terms: 11.76 + -11.76 = 0.00
0.00 + 6.57x = 75.9 + -11.76
6.57x = 75.9 + -11.76

Combine like terms: 75.9 + -11.76 = 64.14
6.57x = 64.14

Divide each side by '6.57'.
x = 9.762557078

Simplifying
x = 9.762557078

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