6x-15=7x-2

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Solution for 6x-15=7x-2 equation:


Simplifying
6x + -15 = 7x + -2

Reorder the terms:
-15 + 6x = 7x + -2

Reorder the terms:
-15 + 6x = -2 + 7x

Solving
-15 + 6x = -2 + 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.
-15 + 6x + -7x = -2 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-15 + -1x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + -1x = -2 + 0
-15 + -1x = -2

Add '15' to each side of the equation.
-15 + 15 + -1x = -2 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = -2 + 15
-1x = -2 + 15

Combine like terms: -2 + 15 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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