3(x-4)-(x-8)=14

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Solution for 3(x-4)-(x-8)=14 equation:


Simplifying
3(x + -4) + -1(x + -8) = 14

Reorder the terms:
3(-4 + x) + -1(x + -8) = 14
(-4 * 3 + x * 3) + -1(x + -8) = 14
(-12 + 3x) + -1(x + -8) = 14

Reorder the terms:
-12 + 3x + -1(-8 + x) = 14
-12 + 3x + (-8 * -1 + x * -1) = 14
-12 + 3x + (8 + -1x) = 14

Reorder the terms:
-12 + 8 + 3x + -1x = 14

Combine like terms: -12 + 8 = -4
-4 + 3x + -1x = 14

Combine like terms: 3x + -1x = 2x
-4 + 2x = 14

Solving
-4 + 2x = 14

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 2x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 14 + 4
2x = 14 + 4

Combine like terms: 14 + 4 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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