7(x-3)=x-5

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Solution for 7(x-3)=x-5 equation:


Simplifying
7(x + -3) = x + -5

Reorder the terms:
7(-3 + x) = x + -5
(-3 * 7 + x * 7) = x + -5
(-21 + 7x) = x + -5

Reorder the terms:
-21 + 7x = -5 + x

Solving
-21 + 7x = -5 + 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.
-21 + 7x + -1x = -5 + x + -1x

Combine like terms: 7x + -1x = 6x
-21 + 6x = -5 + x + -1x

Combine like terms: x + -1x = 0
-21 + 6x = -5 + 0
-21 + 6x = -5

Add '21' to each side of the equation.
-21 + 21 + 6x = -5 + 21

Combine like terms: -21 + 21 = 0
0 + 6x = -5 + 21
6x = -5 + 21

Combine like terms: -5 + 21 = 16
6x = 16

Divide each side by '6'.
x = 2.666666667

Simplifying
x = 2.666666667

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