3x-7=5x-13

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


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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: 3x + -5x = -2x
-7 + -2x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + -2x = -13 + 0
-7 + -2x = -13

Add '7' to each side of the equation.
-7 + 7 + -2x = -13 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = -13 + 7
-2x = -13 + 7

Combine like terms: -13 + 7 = -6
-2x = -6

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

Simplifying
x = 3

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