11+6x-14=3.5(15x-5)

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Solution for 11+6x-14=3.5(15x-5) equation:


Simplifying
11 + 6x + -14 = 3.5(15x + -5)

Reorder the terms:
11 + -14 + 6x = 3.5(15x + -5)

Combine like terms: 11 + -14 = -3
-3 + 6x = 3.5(15x + -5)

Reorder the terms:
-3 + 6x = 3.5(-5 + 15x)
-3 + 6x = (-5 * 3.5 + 15x * 3.5)
-3 + 6x = (-17.5 + 52.5x)

Solving
-3 + 6x = -17.5 + 52.5x

Solving for variable 'x'.

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

Add '-52.5x' to each side of the equation.
-3 + 6x + -52.5x = -17.5 + 52.5x + -52.5x

Combine like terms: 6x + -52.5x = -46.5x
-3 + -46.5x = -17.5 + 52.5x + -52.5x

Combine like terms: 52.5x + -52.5x = 0.0
-3 + -46.5x = -17.5 + 0.0
-3 + -46.5x = -17.5

Add '3' to each side of the equation.
-3 + 3 + -46.5x = -17.5 + 3

Combine like terms: -3 + 3 = 0
0 + -46.5x = -17.5 + 3
-46.5x = -17.5 + 3

Combine like terms: -17.5 + 3 = -14.5
-46.5x = -14.5

Divide each side by '-46.5'.
x = 0.311827957

Simplifying
x = 0.311827957

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