-1(x-8)+4(x-2)=x+9

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Solution for -1(x-8)+4(x-2)=x+9 equation:


Simplifying
-1(x + -8) + 4(x + -2) = x + 9

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

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

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

Combine like terms: 8 + -8 = 0
0 + -1x + 4x = x + 9
-1x + 4x = x + 9

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

Reorder the terms:
3x = 9 + x

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

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

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

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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