14=3(x-1)-(x-9)

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Solution for 14=3(x-1)-(x-9) equation:


Simplifying
14 = 3(x + -1) + -1(x + -9)

Reorder the terms:
14 = 3(-1 + x) + -1(x + -9)
14 = (-1 * 3 + x * 3) + -1(x + -9)
14 = (-3 + 3x) + -1(x + -9)

Reorder the terms:
14 = -3 + 3x + -1(-9 + x)
14 = -3 + 3x + (-9 * -1 + x * -1)
14 = -3 + 3x + (9 + -1x)

Reorder the terms:
14 = -3 + 9 + 3x + -1x

Combine like terms: -3 + 9 = 6
14 = 6 + 3x + -1x

Combine like terms: 3x + -1x = 2x
14 = 6 + 2x

Solving
14 = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + -2x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + -2x = 6 + 0
14 + -2x = 6

Add '-14' to each side of the equation.
14 + -14 + -2x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = 6 + -14
-2x = 6 + -14

Combine like terms: 6 + -14 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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