.1667x+.5=2x-4(3-x)-5

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Solution for .1667x+.5=2x-4(3-x)-5 equation:


Simplifying
0.1667x + 0.5 = 2x + -4(3 + -1x) + -5

Reorder the terms:
0.5 + 0.1667x = 2x + -4(3 + -1x) + -5
0.5 + 0.1667x = 2x + (3 * -4 + -1x * -4) + -5
0.5 + 0.1667x = 2x + (-12 + 4x) + -5

Reorder the terms:
0.5 + 0.1667x = -12 + -5 + 2x + 4x

Combine like terms: -12 + -5 = -17
0.5 + 0.1667x = -17 + 2x + 4x

Combine like terms: 2x + 4x = 6x
0.5 + 0.1667x = -17 + 6x

Solving
0.5 + 0.1667x = -17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
0.5 + 0.1667x + -6x = -17 + 6x + -6x

Combine like terms: 0.1667x + -6x = -5.8333x
0.5 + -5.8333x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
0.5 + -5.8333x = -17 + 0
0.5 + -5.8333x = -17

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -5.8333x = -17 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -5.8333x = -17 + -0.5
-5.8333x = -17 + -0.5

Combine like terms: -17 + -0.5 = -17.5
-5.8333x = -17.5

Divide each side by '-5.8333'.
x = 3.000017143

Simplifying
x = 3.000017143

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