3x-5=7x-13

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Solution for 3x-5=7x-13 equation:


Simplifying
3x + -5 = 7x + -13

Reorder the terms:
-5 + 3x = 7x + -13

Reorder the terms:
-5 + 3x = -13 + 7x

Solving
-5 + 3x = -13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-5 + 3x + -7x = -13 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-5 + -4x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + -4x = -13 + 0
-5 + -4x = -13

Add '5' to each side of the equation.
-5 + 5 + -4x = -13 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = -13 + 5
-4x = -13 + 5

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

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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