3(x-2)-(x-2)=1

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Solution for 3(x-2)-(x-2)=1 equation:


Simplifying
3(x + -2) + -1(x + -2) = 1

Reorder the terms:
3(-2 + x) + -1(x + -2) = 1
(-2 * 3 + x * 3) + -1(x + -2) = 1
(-6 + 3x) + -1(x + -2) = 1

Reorder the terms:
-6 + 3x + -1(-2 + x) = 1
-6 + 3x + (-2 * -1 + x * -1) = 1
-6 + 3x + (2 + -1x) = 1

Reorder the terms:
-6 + 2 + 3x + -1x = 1

Combine like terms: -6 + 2 = -4
-4 + 3x + -1x = 1

Combine like terms: 3x + -1x = 2x
-4 + 2x = 1

Solving
-4 + 2x = 1

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 2x = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 1 + 4
2x = 1 + 4

Combine like terms: 1 + 4 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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