11.6=1.5(x+0.15-3.5+0.1)

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Solution for 11.6=1.5(x+0.15-3.5+0.1) equation: 


Simplifying
11.6 = 1.5(x + 0.15 + -3.5 + 0.1)

Reorder the terms:
11.6 = 1.5(0.15 + -3.5 + 0.1 + x)

Combine like terms: 0.15 + -3.5 = -3.35
11.6 = 1.5(-3.35 + 0.1 + x)

Combine like terms: -3.35 + 0.1 = -3.25
11.6 = 1.5(-3.25 + x)
11.6 = (-3.25 * 1.5 + x * 1.5)
11.6 = (-4.875 + 1.5x)

Solving
11.6 = -4.875 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
11.6 + -1.5x = -4.875 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
11.6 + -1.5x = -4.875 + 0.0
11.6 + -1.5x = -4.875

Add '-11.6' to each side of the equation.
11.6 + -11.6 + -1.5x = -4.875 + -11.6

Combine like terms: 11.6 + -11.6 = 0.0
0.0 + -1.5x = -4.875 + -11.6
-1.5x = -4.875 + -11.6

Combine like terms: -4.875 + -11.6 = -16.475
-1.5x = -16.475

Divide each side by '-1.5'.
x = 10.98333333

Simplifying
x = 10.98333333

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