4x-6=5x+7

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


Simplifying
4x + -6 = 5x + 7

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

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

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

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

Combine like terms: 5x + -5x = 0
-6 + -1x = 7 + 0
-6 + -1x = 7

Add '6' to each side of the equation.
-6 + 6 + -1x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 7 + 6
-1x = 7 + 6

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

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

Simplifying
x = -13

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