16=3(x-1)-(x-7)

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Solution for 16=3(x-1)-(x-7) equation: 


Simplifying
16 = 3(x + -1) + -1(x + -7)

Reorder the terms:
16 = 3(-1 + x) + -1(x + -7)
16 = (-1 * 3 + x * 3) + -1(x + -7)
16 = (-3 + 3x) + -1(x + -7)

Reorder the terms:
16 = -3 + 3x + -1(-7 + x)
16 = -3 + 3x + (-7 * -1 + x * -1)
16 = -3 + 3x + (7 + -1x)

Reorder the terms:
16 = -3 + 7 + 3x + -1x

Combine like terms: -3 + 7 = 4
16 = 4 + 3x + -1x

Combine like terms: 3x + -1x = 2x
16 = 4 + 2x

Solving
16 = 4 + 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.
16 + -2x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -2x = 4 + 0
16 + -2x = 4

Add '-16' to each side of the equation.
16 + -16 + -2x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 4 + -16
-2x = 4 + -16

Combine like terms: 4 + -16 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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