x+5(x-1)=7

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


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

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

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

Combine like terms: x + 5x = 6x
-5 + 6x = 7

Solving
-5 + 6x = 7

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 6x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 7 + 5
6x = 7 + 5

Combine like terms: 7 + 5 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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