.3(x+.2)+.4x=5.5

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Solution for .3(x+.2)+.4x=5.5 equation: 


Simplifying
0.3(x + 0.2) + 0.4x = 5.5

Reorder the terms:
0.3(0.2 + x) + 0.4x = 5.5
(0.2 * 0.3 + x * 0.3) + 0.4x = 5.5
(0.06 + 0.3x) + 0.4x = 5.5

Combine like terms: 0.3x + 0.4x = 0.7x
0.06 + 0.7x = 5.5

Solving
0.06 + 0.7x = 5.5

Solving for variable 'x'.

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

Add '-0.06' to each side of the equation.
0.06 + -0.06 + 0.7x = 5.5 + -0.06

Combine like terms: 0.06 + -0.06 = 0.00
0.00 + 0.7x = 5.5 + -0.06
0.7x = 5.5 + -0.06

Combine like terms: 5.5 + -0.06 = 5.44
0.7x = 5.44

Divide each side by '0.7'.
x = 7.771428571

Simplifying
x = 7.771428571

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