13(x-2)=7x-2

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Solution for 13(x-2)=7x-2 equation:


Simplifying
13(x + -2) = 7x + -2

Reorder the terms:
13(-2 + x) = 7x + -2
(-2 * 13 + x * 13) = 7x + -2
(-26 + 13x) = 7x + -2

Reorder the terms:
-26 + 13x = -2 + 7x

Solving
-26 + 13x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-26 + 13x + -7x = -2 + 7x + -7x

Combine like terms: 13x + -7x = 6x
-26 + 6x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-26 + 6x = -2 + 0
-26 + 6x = -2

Add '26' to each side of the equation.
-26 + 26 + 6x = -2 + 26

Combine like terms: -26 + 26 = 0
0 + 6x = -2 + 26
6x = -2 + 26

Combine like terms: -2 + 26 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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