5(x-1)=x+7

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Solution for 5(x-1)=x+7 equation:


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

Reorder the terms:
5(-1 + x) = x + 7
(-1 * 5 + x * 5) = x + 7
(-5 + 5x) = x + 7

Reorder the terms:
-5 + 5x = 7 + x

Solving
-5 + 5x = 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.
-5 + 5x + -1x = 7 + x + -1x

Combine like terms: 5x + -1x = 4x
-5 + 4x = 7 + x + -1x

Combine like terms: x + -1x = 0
-5 + 4x = 7 + 0
-5 + 4x = 7

Add '5' to each side of the equation.
-5 + 5 + 4x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 7 + 5
4x = 7 + 5

Combine like terms: 7 + 5 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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