14=5(x-4)-(x-6)

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Solution for 14=5(x-4)-(x-6) equation:


Simplifying
14 = 5(x + -4) + -1(x + -6)

Reorder the terms:
14 = 5(-4 + x) + -1(x + -6)
14 = (-4 * 5 + x * 5) + -1(x + -6)
14 = (-20 + 5x) + -1(x + -6)

Reorder the terms:
14 = -20 + 5x + -1(-6 + x)
14 = -20 + 5x + (-6 * -1 + x * -1)
14 = -20 + 5x + (6 + -1x)

Reorder the terms:
14 = -20 + 6 + 5x + -1x

Combine like terms: -20 + 6 = -14
14 = -14 + 5x + -1x

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

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

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

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

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

Combine like terms: -14 + -14 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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