x+14=4(x-4)

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


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

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

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

Solving
14 + x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
14 + x + -4x = -16 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
14 + -3x = -16 + 0
14 + -3x = -16

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

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

Combine like terms: -16 + -14 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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