3(x-3)-2(x-2)=7

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Solution for 3(x-3)-2(x-2)=7 equation:


Simplifying
3(x + -3) + -2(x + -2) = 7

Reorder the terms:
3(-3 + x) + -2(x + -2) = 7
(-3 * 3 + x * 3) + -2(x + -2) = 7
(-9 + 3x) + -2(x + -2) = 7

Reorder the terms:
-9 + 3x + -2(-2 + x) = 7
-9 + 3x + (-2 * -2 + x * -2) = 7
-9 + 3x + (4 + -2x) = 7

Reorder the terms:
-9 + 4 + 3x + -2x = 7

Combine like terms: -9 + 4 = -5
-5 + 3x + -2x = 7

Combine like terms: 3x + -2x = 1x
-5 + 1x = 7

Solving
-5 + 1x = 7

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 + 1x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 7 + 5
1x = 7 + 5

Combine like terms: 7 + 5 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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