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

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Solution for 1(x-8)+2(x+2)=x+9 equation:


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

Reorder the terms:
1(-8 + x) + 2(x + 2) = x + 9
(-8 * 1 + x * 1) + 2(x + 2) = x + 9
(-8 + 1x) + 2(x + 2) = x + 9

Reorder the terms:
-8 + 1x + 2(2 + x) = x + 9
-8 + 1x + (2 * 2 + x * 2) = x + 9
-8 + 1x + (4 + 2x) = x + 9

Reorder the terms:
-8 + 4 + 1x + 2x = x + 9

Combine like terms: -8 + 4 = -4
-4 + 1x + 2x = x + 9

Combine like terms: 1x + 2x = 3x
-4 + 3x = x + 9

Reorder the terms:
-4 + 3x = 9 + x

Solving
-4 + 3x = 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.
-4 + 3x + -1x = 9 + x + -1x

Combine like terms: 3x + -1x = 2x
-4 + 2x = 9 + x + -1x

Combine like terms: x + -1x = 0
-4 + 2x = 9 + 0
-4 + 2x = 9

Add '4' to each side of the equation.
-4 + 4 + 2x = 9 + 4

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

Combine like terms: 9 + 4 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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