6x+5=7x-5

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Solution for 6x+5=7x-5 equation:


Simplifying
6x + 5 = 7x + -5

Reorder the terms:
5 + 6x = 7x + -5

Reorder the terms:
5 + 6x = -5 + 7x

Solving
5 + 6x = -5 + 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.
5 + 6x + -7x = -5 + 7x + -7x

Combine like terms: 6x + -7x = -1x
5 + -1x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -1x = -5 + 0
5 + -1x = -5

Add '-5' to each side of the equation.
5 + -5 + -1x = -5 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -5 + -5
-1x = -5 + -5

Combine like terms: -5 + -5 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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