-4(x-8)+2(x+2)=x+9

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Solution for -4(x-8)+2(x+2)=x+9 equation:


Simplifying
-4(x + -8) + 2(x + 2) = x + 9

Reorder the terms:
-4(-8 + x) + 2(x + 2) = x + 9
(-8 * -4 + x * -4) + 2(x + 2) = x + 9
(32 + -4x) + 2(x + 2) = x + 9

Reorder the terms:
32 + -4x + 2(2 + x) = x + 9
32 + -4x + (2 * 2 + x * 2) = x + 9
32 + -4x + (4 + 2x) = x + 9

Reorder the terms:
32 + 4 + -4x + 2x = x + 9

Combine like terms: 32 + 4 = 36
36 + -4x + 2x = x + 9

Combine like terms: -4x + 2x = -2x
36 + -2x = x + 9

Reorder the terms:
36 + -2x = 9 + x

Solving
36 + -2x = 9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
36 + -2x + -1x = 9 + x + -1x

Combine like terms: -2x + -1x = -3x
36 + -3x = 9 + x + -1x

Combine like terms: x + -1x = 0
36 + -3x = 9 + 0
36 + -3x = 9

Add '-36' to each side of the equation.
36 + -36 + -3x = 9 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = 9 + -36
-3x = 9 + -36

Combine like terms: 9 + -36 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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