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

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


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

Reorder the terms:
3(-3 + x) + 2(x + -2) = 2
(-3 * 3 + x * 3) + 2(x + -2) = 2
(-9 + 3x) + 2(x + -2) = 2

Reorder the terms:
-9 + 3x + 2(-2 + x) = 2
-9 + 3x + (-2 * 2 + x * 2) = 2
-9 + 3x + (-4 + 2x) = 2

Reorder the terms:
-9 + -4 + 3x + 2x = 2

Combine like terms: -9 + -4 = -13
-13 + 3x + 2x = 2

Combine like terms: 3x + 2x = 5x
-13 + 5x = 2

Solving
-13 + 5x = 2

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 5x = 2 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 2 + 13
5x = 2 + 13

Combine like terms: 2 + 13 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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