8-3(x-5)=x-3

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Solution for 8-3(x-5)=x-3 equation:


Simplifying
8 + -3(x + -5) = x + -3

Reorder the terms:
8 + -3(-5 + x) = x + -3
8 + (-5 * -3 + x * -3) = x + -3
8 + (15 + -3x) = x + -3

Combine like terms: 8 + 15 = 23
23 + -3x = x + -3

Reorder the terms:
23 + -3x = -3 + x

Solving
23 + -3x = -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.
23 + -3x + -1x = -3 + x + -1x

Combine like terms: -3x + -1x = -4x
23 + -4x = -3 + x + -1x

Combine like terms: x + -1x = 0
23 + -4x = -3 + 0
23 + -4x = -3

Add '-23' to each side of the equation.
23 + -23 + -4x = -3 + -23

Combine like terms: 23 + -23 = 0
0 + -4x = -3 + -23
-4x = -3 + -23

Combine like terms: -3 + -23 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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