0.50x+0.20(9.0-x)=4.20

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Solution for 0.50x+0.20(9.0-x)=4.20 equation:


Simplifying
0.50x + 0.20(9.0 + -1x) = 4.20
0.50x + (9.0 * 0.20 + -1x * 0.20) = 4.20
0.50x + (1.8 + -0.2x) = 4.20

Reorder the terms:
1.8 + 0.50x + -0.2x = 4.20

Combine like terms: 0.50x + -0.2x = 0.3x
1.8 + 0.3x = 4.20

Solving
1.8 + 0.3x = 4.20

Solving for variable 'x'.

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

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 0.3x = 4.20 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.3x = 4.20 + -1.8
0.3x = 4.20 + -1.8

Combine like terms: 4.20 + -1.8 = 2.4
0.3x = 2.4

Divide each side by '0.3'.
x = 8

Simplifying
x = 8

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