6x-4=5x-7

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Solution for 6x-4=5x-7 equation:


Simplifying
6x + -4 = 5x + -7

Reorder the terms:
-4 + 6x = 5x + -7

Reorder the terms:
-4 + 6x = -7 + 5x

Solving
-4 + 6x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + 6x + -5x = -7 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-4 + 1x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 1x = -7 + 0
-4 + 1x = -7

Add '4' to each side of the equation.
-4 + 4 + 1x = -7 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -7 + 4
1x = -7 + 4

Combine like terms: -7 + 4 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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