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

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


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

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

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

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

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

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

Solving
4 + 2x = 16

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = 6

Simplifying
x = 6

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