5x-6=4x+1

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Solution for 5x-6=4x+1 equation:


Simplifying
5x + -6 = 4x + 1

Reorder the terms:
-6 + 5x = 4x + 1

Reorder the terms:
-6 + 5x = 1 + 4x

Solving
-6 + 5x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 5x + -4x = 1 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-6 + 1x = 1 + 0
-6 + 1x = 1

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

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

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

Divide each side by '1'.
x = 7

Simplifying
x = 7

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