14=5(x-2)-(x-8)

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Solution for 14=5(x-2)-(x-8) equation:


Simplifying
14 = 5(x + -2) + -1(x + -8)

Reorder the terms:
14 = 5(-2 + x) + -1(x + -8)
14 = (-2 * 5 + x * 5) + -1(x + -8)
14 = (-10 + 5x) + -1(x + -8)

Reorder the terms:
14 = -10 + 5x + -1(-8 + x)
14 = -10 + 5x + (-8 * -1 + x * -1)
14 = -10 + 5x + (8 + -1x)

Reorder the terms:
14 = -10 + 8 + 5x + -1x

Combine like terms: -10 + 8 = -2
14 = -2 + 5x + -1x

Combine like terms: 5x + -1x = 4x
14 = -2 + 4x

Solving
14 = -2 + 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 + -4x = -2 + 4x + -4x

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

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

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

Combine like terms: -2 + -14 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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