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

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


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

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

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

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

Combine like terms: -6 + -3 = -9
-9 + 2x + 3x = 1

Combine like terms: 2x + 3x = 5x
-9 + 5x = 1

Solving
-9 + 5x = 1

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 5x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 1 + 9
5x = 1 + 9

Combine like terms: 1 + 9 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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