13(x-3)=7x+3

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Solution for 13(x-3)=7x+3 equation:


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

Reorder the terms:
13(-3 + x) = 7x + 3
(-3 * 13 + x * 13) = 7x + 3
(-39 + 13x) = 7x + 3

Reorder the terms:
-39 + 13x = 3 + 7x

Solving
-39 + 13x = 3 + 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.
-39 + 13x + -7x = 3 + 7x + -7x

Combine like terms: 13x + -7x = 6x
-39 + 6x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
-39 + 6x = 3 + 0
-39 + 6x = 3

Add '39' to each side of the equation.
-39 + 39 + 6x = 3 + 39

Combine like terms: -39 + 39 = 0
0 + 6x = 3 + 39
6x = 3 + 39

Combine like terms: 3 + 39 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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