10-2(x-5)=x-3

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Solution for 10-2(x-5)=x-3 equation: 


Simplifying
10 + -2(x + -5) = x + -3

Reorder the terms:
10 + -2(-5 + x) = x + -3
10 + (-5 * -2 + x * -2) = x + -3
10 + (10 + -2x) = x + -3

Combine like terms: 10 + 10 = 20
20 + -2x = x + -3

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

Solving
20 + -2x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
20 + -2x + -1x = -3 + x + -1x

Combine like terms: -2x + -1x = -3x
20 + -3x = -3 + x + -1x

Combine like terms: x + -1x = 0
20 + -3x = -3 + 0
20 + -3x = -3

Add '-20' to each side of the equation.
20 + -20 + -3x = -3 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = -3 + -20
-3x = -3 + -20

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

Divide each side by '-3'.
x = 7.666666667

Simplifying
x = 7.666666667

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