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

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


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

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

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

Combine like terms: -6 + -6 = -12
-12 + 3x + 2x = 1

Combine like terms: 3x + 2x = 5x
-12 + 5x = 1

Solving
-12 + 5x = 1

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 5x = 1 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 1 + 12
5x = 1 + 12

Combine like terms: 1 + 12 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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