-7+3(x-3)-2(x-2)=0

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Solution for -7+3(x-3)-2(x-2)=0 equation:


Simplifying
-7 + 3(x + -3) + -2(x + -2) = 0

Reorder the terms:
-7 + 3(-3 + x) + -2(x + -2) = 0
-7 + (-3 * 3 + x * 3) + -2(x + -2) = 0
-7 + (-9 + 3x) + -2(x + -2) = 0

Reorder the terms:
-7 + -9 + 3x + -2(-2 + x) = 0
-7 + -9 + 3x + (-2 * -2 + x * -2) = 0
-7 + -9 + 3x + (4 + -2x) = 0

Reorder the terms:
-7 + -9 + 4 + 3x + -2x = 0

Combine like terms: -7 + -9 = -16
-16 + 4 + 3x + -2x = 0

Combine like terms: -16 + 4 = -12
-12 + 3x + -2x = 0

Combine like terms: 3x + -2x = 1x
-12 + 1x = 0

Solving
-12 + 1x = 0

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 + 1x = 0 + 12

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

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

Divide each side by '1'.
x = 12

Simplifying
x = 12

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