13(x-3)=3(2x-1)-1

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Solution for 13(x-3)=3(2x-1)-1 equation:


Simplifying
13(x + -3) = 3(2x + -1) + -1

Reorder the terms:
13(-3 + x) = 3(2x + -1) + -1
(-3 * 13 + x * 13) = 3(2x + -1) + -1
(-39 + 13x) = 3(2x + -1) + -1

Reorder the terms:
-39 + 13x = 3(-1 + 2x) + -1
-39 + 13x = (-1 * 3 + 2x * 3) + -1
-39 + 13x = (-3 + 6x) + -1

Reorder the terms:
-39 + 13x = -3 + -1 + 6x

Combine like terms: -3 + -1 = -4
-39 + 13x = -4 + 6x

Solving
-39 + 13x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-39 + 13x + -6x = -4 + 6x + -6x

Combine like terms: 13x + -6x = 7x
-39 + 7x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-39 + 7x = -4 + 0
-39 + 7x = -4

Add '39' to each side of the equation.
-39 + 39 + 7x = -4 + 39

Combine like terms: -39 + 39 = 0
0 + 7x = -4 + 39
7x = -4 + 39

Combine like terms: -4 + 39 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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