x+(2x+.5)+(x+.2)=10

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Solution for x+(2x+.5)+(x+.2)=10 equation:


Simplifying
x + (2x + 0.5) + (x + 0.2) = 10

Reorder the terms:
x + (0.5 + 2x) + (x + 0.2) = 10

Remove parenthesis around (0.5 + 2x)
x + 0.5 + 2x + (x + 0.2) = 10

Reorder the terms:
x + 0.5 + 2x + (0.2 + x) = 10

Remove parenthesis around (0.2 + x)
x + 0.5 + 2x + 0.2 + x = 10

Reorder the terms:
0.5 + 0.2 + x + 2x + x = 10

Combine like terms: 0.5 + 0.2 = 0.7
0.7 + x + 2x + x = 10

Combine like terms: x + 2x = 3x
0.7 + 3x + x = 10

Combine like terms: 3x + x = 4x
0.7 + 4x = 10

Solving
0.7 + 4x = 10

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 4x = 10 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 4x = 10 + -0.7
4x = 10 + -0.7

Combine like terms: 10 + -0.7 = 9.3
4x = 9.3

Divide each side by '4'.
x = 2.325

Simplifying
x = 2.325

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