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

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


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

Reorder the terms:
10 + -2(-3 + x) = x + -5
10 + (-3 * -2 + x * -2) = x + -5
10 + (6 + -2x) = x + -5

Combine like terms: 10 + 6 = 16
16 + -2x = x + -5

Reorder the terms:
16 + -2x = -5 + x

Solving
16 + -2x = -5 + 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.
16 + -2x + -1x = -5 + x + -1x

Combine like terms: -2x + -1x = -3x
16 + -3x = -5 + x + -1x

Combine like terms: x + -1x = 0
16 + -3x = -5 + 0
16 + -3x = -5

Add '-16' to each side of the equation.
16 + -16 + -3x = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = -5 + -16
-3x = -5 + -16

Combine like terms: -5 + -16 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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