.5(x-6)+1=2(x-10)-3

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Solution for .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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