3(x-2)-4(-2+x)-7=9

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Solution for 3(x-2)-4(-2+x)-7=9 equation: 


Simplifying
3(x + -2) + -4(-2 + x) + -7 = 9

Reorder the terms:
3(-2 + x) + -4(-2 + x) + -7 = 9
(-2 * 3 + x * 3) + -4(-2 + x) + -7 = 9
(-6 + 3x) + -4(-2 + x) + -7 = 9
-6 + 3x + (-2 * -4 + x * -4) + -7 = 9
-6 + 3x + (8 + -4x) + -7 = 9

Reorder the terms:
-6 + 8 + -7 + 3x + -4x = 9

Combine like terms: -6 + 8 = 2
2 + -7 + 3x + -4x = 9

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

Combine like terms: 3x + -4x = -1x
-5 + -1x = 9

Solving
-5 + -1x = 9

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 = 9 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 9 + 5
-1x = 9 + 5

Combine like terms: 9 + 5 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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