7x-82=4x-13

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Solution for 7x-82=4x-13 equation:


Simplifying
7x + -82 = 4x + -13

Reorder the terms:
-82 + 7x = 4x + -13

Reorder the terms:
-82 + 7x = -13 + 4x

Solving
-82 + 7x = -13 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-82 + 7x + -4x = -13 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-82 + 3x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-82 + 3x = -13 + 0
-82 + 3x = -13

Add '82' to each side of the equation.
-82 + 82 + 3x = -13 + 82

Combine like terms: -82 + 82 = 0
0 + 3x = -13 + 82
3x = -13 + 82

Combine like terms: -13 + 82 = 69
3x = 69

Divide each side by '3'.
x = 23

Simplifying
x = 23

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