5x-7=8x-13

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Solution for 5x-7=8x-13 equation:


Simplifying
5x + -7 = 8x + -13

Reorder the terms:
-7 + 5x = 8x + -13

Reorder the terms:
-7 + 5x = -13 + 8x

Solving
-7 + 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.
-7 + 5x + -8x = -13 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-7 + -3x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -3x = -13 + 0
-7 + -3x = -13

Add '7' to each side of the equation.
-7 + 7 + -3x = -13 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = -13 + 7
-3x = -13 + 7

Combine like terms: -13 + 7 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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