.5x+6-3x=-3x+11x-2

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Solution for .5x+6-3x=-3x+11x-2 equation:


Simplifying
0.5x + 6 + -3x = -3x + 11x + -2

Reorder the terms:
6 + 0.5x + -3x = -3x + 11x + -2

Combine like terms: 0.5x + -3x = -2.5x
6 + -2.5x = -3x + 11x + -2

Reorder the terms:
6 + -2.5x = -2 + -3x + 11x

Combine like terms: -3x + 11x = 8x
6 + -2.5x = -2 + 8x

Solving
6 + -2.5x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + -2.5x + -8x = -2 + 8x + -8x

Combine like terms: -2.5x + -8x = -10.5x
6 + -10.5x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -10.5x = -2 + 0
6 + -10.5x = -2

Add '-6' to each side of the equation.
6 + -6 + -10.5x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -10.5x = -2 + -6
-10.5x = -2 + -6

Combine like terms: -2 + -6 = -8
-10.5x = -8

Divide each side by '-10.5'.
x = 0.7619047619

Simplifying
x = 0.7619047619

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