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

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


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

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

Reorder the terms:
-6 + -2 + 3x = x + -5

Combine like terms: -6 + -2 = -8
-8 + 3x = x + -5

Reorder the terms:
-8 + 3x = -5 + x

Solving
-8 + 3x = -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.
-8 + 3x + -1x = -5 + x + -1x

Combine like terms: 3x + -1x = 2x
-8 + 2x = -5 + x + -1x

Combine like terms: x + -1x = 0
-8 + 2x = -5 + 0
-8 + 2x = -5

Add '8' to each side of the equation.
-8 + 8 + 2x = -5 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = -5 + 8
2x = -5 + 8

Combine like terms: -5 + 8 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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