2x+1.5+.15(2x+1.5)=11.5

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Solution for 2x+1.5+.15(2x+1.5)=11.5 equation: 


Simplifying
2x + 1.5 + 0.15(2x + 1.5) = 11.5

Reorder the terms:
2x + 1.5 + 0.15(1.5 + 2x) = 11.5
2x + 1.5 + (1.5 * 0.15 + 2x * 0.15) = 11.5
2x + 1.5 + (0.225 + 0.3x) = 11.5

Reorder the terms:
1.5 + 0.225 + 2x + 0.3x = 11.5

Combine like terms: 1.5 + 0.225 = 1.725
1.725 + 2x + 0.3x = 11.5

Combine like terms: 2x + 0.3x = 2.3x
1.725 + 2.3x = 11.5

Solving
1.725 + 2.3x = 11.5

Solving for variable 'x'.

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

Add '-1.725' to each side of the equation.
1.725 + -1.725 + 2.3x = 11.5 + -1.725

Combine like terms: 1.725 + -1.725 = 0.000
0.000 + 2.3x = 11.5 + -1.725
2.3x = 11.5 + -1.725

Combine like terms: 11.5 + -1.725 = 9.775
2.3x = 9.775

Divide each side by '2.3'.
x = 4.25

Simplifying
x = 4.25

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