3(x-1)=x+7

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


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

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

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

Solving
-3 + 3x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 3x + -1x = 7 + x + -1x

Combine like terms: 3x + -1x = 2x
-3 + 2x = 7 + x + -1x

Combine like terms: x + -1x = 0
-3 + 2x = 7 + 0
-3 + 2x = 7

Add '3' to each side of the equation.
-3 + 3 + 2x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 7 + 3
2x = 7 + 3

Combine like terms: 7 + 3 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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