(4x-8)-(x-1)=14

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Solution for (4x-8)-(x-1)=14 equation:


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

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

Remove parenthesis around (-8 + 4x)
-8 + 4x + -1(x + -1) = 14

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

Reorder the terms:
-8 + 1 + 4x + -1x = 14

Combine like terms: -8 + 1 = -7
-7 + 4x + -1x = 14

Combine like terms: 4x + -1x = 3x
-7 + 3x = 14

Solving
-7 + 3x = 14

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 3x = 14 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 14 + 7
3x = 14 + 7

Combine like terms: 14 + 7 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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