6x-9=7x-13

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Solution for 6x-9=7x-13 equation:


Simplifying
6x + -9 = 7x + -13

Reorder the terms:
-9 + 6x = 7x + -13

Reorder the terms:
-9 + 6x = -13 + 7x

Solving
-9 + 6x = -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.
-9 + 6x + -7x = -13 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-9 + -1x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
-9 + -1x = -13 + 0
-9 + -1x = -13

Add '9' to each side of the equation.
-9 + 9 + -1x = -13 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -13 + 9
-1x = -13 + 9

Combine like terms: -13 + 9 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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