0.5(x+1.6)+1.4(3x+2.4)=9.8

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Solution for 0.5(x+1.6)+1.4(3x+2.4)=9.8 equation: 


Simplifying
0.5(x + 1.6) + 1.4(3x + 2.4) = 9.8

Reorder the terms:
0.5(1.6 + x) + 1.4(3x + 2.4) = 9.8
(1.6 * 0.5 + x * 0.5) + 1.4(3x + 2.4) = 9.8
(0.8 + 0.5x) + 1.4(3x + 2.4) = 9.8

Reorder the terms:
0.8 + 0.5x + 1.4(2.4 + 3x) = 9.8
0.8 + 0.5x + (2.4 * 1.4 + 3x * 1.4) = 9.8
0.8 + 0.5x + (3.36 + 4.2x) = 9.8

Reorder the terms:
0.8 + 3.36 + 0.5x + 4.2x = 9.8

Combine like terms: 0.8 + 3.36 = 4.16
4.16 + 0.5x + 4.2x = 9.8

Combine like terms: 0.5x + 4.2x = 4.7x
4.16 + 4.7x = 9.8

Solving
4.16 + 4.7x = 9.8

Solving for variable 'x'.

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

Add '-4.16' to each side of the equation.
4.16 + -4.16 + 4.7x = 9.8 + -4.16

Combine like terms: 4.16 + -4.16 = 0.00
0.00 + 4.7x = 9.8 + -4.16
4.7x = 9.8 + -4.16

Combine like terms: 9.8 + -4.16 = 5.64
4.7x = 5.64

Divide each side by '4.7'.
x = 1.2

Simplifying
x = 1.2

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