0.5[x-6]+1=2[x-10]-3

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Solution for 0.5[x-6]+1=2[x-10]-3 equation:


Simplifying
0.5[x + -6] + 1 = 2[x + -10] + -3

Reorder the terms:
0.5[-6 + x] + 1 = 2[x + -10] + -3
[-6 * 0.5 + x * 0.5] + 1 = 2[x + -10] + -3
[-3 + 0.5x] + 1 = 2[x + -10] + -3

Reorder the terms:
-3 + 1 + 0.5x = 2[x + -10] + -3

Combine like terms: -3 + 1 = -2
-2 + 0.5x = 2[x + -10] + -3

Reorder the terms:
-2 + 0.5x = 2[-10 + x] + -3
-2 + 0.5x = [-10 * 2 + x * 2] + -3
-2 + 0.5x = [-20 + 2x] + -3

Reorder the terms:
-2 + 0.5x = -20 + -3 + 2x

Combine like terms: -20 + -3 = -23
-2 + 0.5x = -23 + 2x

Solving
-2 + 0.5x = -23 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 0.5x + -2x = -23 + 2x + -2x

Combine like terms: 0.5x + -2x = -1.5x
-2 + -1.5x = -23 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -1.5x = -23 + 0
-2 + -1.5x = -23

Add '2' to each side of the equation.
-2 + 2 + -1.5x = -23 + 2

Combine like terms: -2 + 2 = 0
0 + -1.5x = -23 + 2
-1.5x = -23 + 2

Combine like terms: -23 + 2 = -21
-1.5x = -21

Divide each side by '-1.5'.
x = 14

Simplifying
x = 14

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