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

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


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

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

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

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

Combine like terms: -6 + 1 = -5
-5 + 3x + -1x = 3

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

Solving
-5 + 2x = 3

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 3 + 5
2x = 3 + 5

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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