7x-13=3x-9

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Solution for 7x-13=3x-9 equation:


Simplifying
7x + -13 = 3x + -9

Reorder the terms:
-13 + 7x = 3x + -9

Reorder the terms:
-13 + 7x = -9 + 3x

Solving
-13 + 7x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-13 + 7x + -3x = -9 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-13 + 4x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + 4x = -9 + 0
-13 + 4x = -9

Add '13' to each side of the equation.
-13 + 13 + 4x = -9 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = -9 + 13
4x = -9 + 13

Combine like terms: -9 + 13 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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