7(x-2)-9(x+2)=10

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Solution for 7(x-2)-9(x+2)=10 equation: 


Simplifying
7(x + -2) + -9(x + 2) = 10

Reorder the terms:
7(-2 + x) + -9(x + 2) = 10
(-2 * 7 + x * 7) + -9(x + 2) = 10
(-14 + 7x) + -9(x + 2) = 10

Reorder the terms:
-14 + 7x + -9(2 + x) = 10
-14 + 7x + (2 * -9 + x * -9) = 10
-14 + 7x + (-18 + -9x) = 10

Reorder the terms:
-14 + -18 + 7x + -9x = 10

Combine like terms: -14 + -18 = -32
-32 + 7x + -9x = 10

Combine like terms: 7x + -9x = -2x
-32 + -2x = 10

Solving
-32 + -2x = 10

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + -2x = 10 + 32

Combine like terms: -32 + 32 = 0
0 + -2x = 10 + 32
-2x = 10 + 32

Combine like terms: 10 + 32 = 42
-2x = 42

Divide each side by '-2'.
x = -21

Simplifying
x = -21

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