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

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


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

Reorder the terms:
-4(-4 + x) + x = 3x + -14
(-4 * -4 + x * -4) + x = 3x + -14
(16 + -4x) + x = 3x + -14

Combine like terms: -4x + x = -3x
16 + -3x = 3x + -14

Reorder the terms:
16 + -3x = -14 + 3x

Solving
16 + -3x = -14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + -3x + -3x = -14 + 3x + -3x

Combine like terms: -3x + -3x = -6x
16 + -6x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -6x = -14 + 0
16 + -6x = -14

Add '-16' to each side of the equation.
16 + -16 + -6x = -14 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = -14 + -16
-6x = -14 + -16

Combine like terms: -14 + -16 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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