3(x-5)=x-3

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


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

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

Reorder the terms:
-15 + 3x = -3 + x

Solving
-15 + 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.
-15 + 3x + -1x = -3 + x + -1x

Combine like terms: 3x + -1x = 2x
-15 + 2x = -3 + x + -1x

Combine like terms: x + -1x = 0
-15 + 2x = -3 + 0
-15 + 2x = -3

Add '15' to each side of the equation.
-15 + 15 + 2x = -3 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = -3 + 15
2x = -3 + 15

Combine like terms: -3 + 15 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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