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

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


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

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

Reorder the terms:
-6 + 3x + 2(-2 + x) = 1
-6 + 3x + (-2 * 2 + x * 2) = 1
-6 + 3x + (-4 + 2x) = 1

Reorder the terms:
-6 + -4 + 3x + 2x = 1

Combine like terms: -6 + -4 = -10
-10 + 3x + 2x = 1

Combine like terms: 3x + 2x = 5x
-10 + 5x = 1

Solving
-10 + 5x = 1

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 5x = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 1 + 10
5x = 1 + 10

Combine like terms: 1 + 10 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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