5x-1=8x-13

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Solution for 5x-1=8x-13 equation:


Simplifying
5x + -1 = 8x + -13

Reorder the terms:
-1 + 5x = 8x + -13

Reorder the terms:
-1 + 5x = -13 + 8x

Solving
-1 + 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.
-1 + 5x + -8x = -13 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-1 + -3x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -3x = -13 + 0
-1 + -3x = -13

Add '1' to each side of the equation.
-1 + 1 + -3x = -13 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = -13 + 1
-3x = -13 + 1

Combine like terms: -13 + 1 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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