11.50=2x+1.50+0.15(2x+1.50)

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Solution for 11.50=2x+1.50+0.15(2x+1.50) equation: 


Simplifying
11.50 = 2x + 1.50 + 0.15(2x + 1.50)

Reorder the terms:
11.50 = 2x + 1.50 + 0.15(1.50 + 2x)
11.50 = 2x + 1.50 + (1.50 * 0.15 + 2x * 0.15)
11.50 = 2x + 1.50 + (0.225 + 0.3x)

Reorder the terms:
11.50 = 1.50 + 0.225 + 2x + 0.3x

Combine like terms: 1.50 + 0.225 = 1.725
11.50 = 1.725 + 2x + 0.3x

Combine like terms: 2x + 0.3x = 2.3x
11.50 = 1.725 + 2.3x

Solving
11.50 = 1.725 + 2.3x

Solving for variable 'x'.

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

Add '-2.3x' to each side of the equation.
11.50 + -2.3x = 1.725 + 2.3x + -2.3x

Combine like terms: 2.3x + -2.3x = 0.0
11.50 + -2.3x = 1.725 + 0.0
11.50 + -2.3x = 1.725

Add '-11.50' to each side of the equation.
11.50 + -11.50 + -2.3x = 1.725 + -11.50

Combine like terms: 11.50 + -11.50 = 0.00
0.00 + -2.3x = 1.725 + -11.50
-2.3x = 1.725 + -11.50

Combine like terms: 1.725 + -11.50 = -9.775
-2.3x = -9.775

Divide each side by '-2.3'.
x = 4.25

Simplifying
x = 4.25

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