11x-3x-8=5(x-2+3x)

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Solution for 11x-3x-8=5(x-2+3x) equation:


Simplifying
11x + -3x + -8 = 5(x + -2 + 3x)

Reorder the terms:
-8 + 11x + -3x = 5(x + -2 + 3x)

Combine like terms: 11x + -3x = 8x
-8 + 8x = 5(x + -2 + 3x)

Reorder the terms:
-8 + 8x = 5(-2 + x + 3x)

Combine like terms: x + 3x = 4x
-8 + 8x = 5(-2 + 4x)
-8 + 8x = (-2 * 5 + 4x * 5)
-8 + 8x = (-10 + 20x)

Solving
-8 + 8x = -10 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-8 + 8x + -20x = -10 + 20x + -20x

Combine like terms: 8x + -20x = -12x
-8 + -12x = -10 + 20x + -20x

Combine like terms: 20x + -20x = 0
-8 + -12x = -10 + 0
-8 + -12x = -10

Add '8' to each side of the equation.
-8 + 8 + -12x = -10 + 8

Combine like terms: -8 + 8 = 0
0 + -12x = -10 + 8
-12x = -10 + 8

Combine like terms: -10 + 8 = -2
-12x = -2

Divide each side by '-12'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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