13(x-3)=8x-4

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Solution for 13(x-3)=8x-4 equation:


Simplifying
13(x + -3) = 8x + -4

Reorder the terms:
13(-3 + x) = 8x + -4
(-3 * 13 + x * 13) = 8x + -4
(-39 + 13x) = 8x + -4

Reorder the terms:
-39 + 13x = -4 + 8x

Solving
-39 + 13x = -4 + 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 = -4 + 8x + -8x

Combine like terms: 13x + -8x = 5x
-39 + 5x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-39 + 5x = -4 + 0
-39 + 5x = -4

Add '39' to each side of the equation.
-39 + 39 + 5x = -4 + 39

Combine like terms: -39 + 39 = 0
0 + 5x = -4 + 39
5x = -4 + 39

Combine like terms: -4 + 39 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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