11.6=1.5(x-3.5)

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


Simplifying
11.6 = 1.5(x + -3.5)

Reorder the terms:
11.6 = 1.5(-3.5 + x)
11.6 = (-3.5 * 1.5 + x * 1.5)
11.6 = (-5.25 + 1.5x)

Solving
11.6 = -5.25 + 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 = -5.25 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
11.6 + -1.5x = -5.25 + 0.0
11.6 + -1.5x = -5.25

Add '-11.6' to each side of the equation.
11.6 + -11.6 + -1.5x = -5.25 + -11.6

Combine like terms: 11.6 + -11.6 = 0.0
0.0 + -1.5x = -5.25 + -11.6
-1.5x = -5.25 + -11.6

Combine like terms: -5.25 + -11.6 = -16.85
-1.5x = -16.85

Divide each side by '-1.5'.
x = 11.23333333

Simplifying
x = 11.23333333

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