13(x-3)=8x-19

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Solution for 13(x-3)=8x-19 equation:


Simplifying
13(x + -3) = 8x + -19

Reorder the terms:
13(-3 + x) = 8x + -19
(-3 * 13 + x * 13) = 8x + -19
(-39 + 13x) = 8x + -19

Reorder the terms:
-39 + 13x = -19 + 8x

Solving
-39 + 13x = -19 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-39 + 13x + -8x = -19 + 8x + -8x

Combine like terms: 13x + -8x = 5x
-39 + 5x = -19 + 8x + -8x

Combine like terms: 8x + -8x = 0
-39 + 5x = -19 + 0
-39 + 5x = -19

Add '39' to each side of the equation.
-39 + 39 + 5x = -19 + 39

Combine like terms: -39 + 39 = 0
0 + 5x = -19 + 39
5x = -19 + 39

Combine like terms: -19 + 39 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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