5x-4=8x-13

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Solution for 5x-4=8x-13 equation:


Simplifying
5x + -4 = 8x + -13

Reorder the terms:
-4 + 5x = 8x + -13

Reorder the terms:
-4 + 5x = -13 + 8x

Solving
-4 + 5x = -13 + 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.
-4 + 5x + -8x = -13 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-4 + -3x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -3x = -13 + 0
-4 + -3x = -13

Add '4' to each side of the equation.
-4 + 4 + -3x = -13 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = -13 + 4
-3x = -13 + 4

Combine like terms: -13 + 4 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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