9(x-2)-2(x+2)=28

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Solution for 9(x-2)-2(x+2)=28 equation:


Simplifying
9(x + -2) + -2(x + 2) = 28

Reorder the terms:
9(-2 + x) + -2(x + 2) = 28
(-2 * 9 + x * 9) + -2(x + 2) = 28
(-18 + 9x) + -2(x + 2) = 28

Reorder the terms:
-18 + 9x + -2(2 + x) = 28
-18 + 9x + (2 * -2 + x * -2) = 28
-18 + 9x + (-4 + -2x) = 28

Reorder the terms:
-18 + -4 + 9x + -2x = 28

Combine like terms: -18 + -4 = -22
-22 + 9x + -2x = 28

Combine like terms: 9x + -2x = 7x
-22 + 7x = 28

Solving
-22 + 7x = 28

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 7x = 28 + 22

Combine like terms: -22 + 22 = 0
0 + 7x = 28 + 22
7x = 28 + 22

Combine like terms: 28 + 22 = 50
7x = 50

Divide each side by '7'.
x = 7.142857143

Simplifying
x = 7.142857143

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