4x-5=x+7

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


Simplifying
4x + -5 = x + 7

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

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

Solving
-5 + 4x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 4x + -1x = 7 + x + -1x

Combine like terms: 4x + -1x = 3x
-5 + 3x = 7 + x + -1x

Combine like terms: x + -1x = 0
-5 + 3x = 7 + 0
-5 + 3x = 7

Add '5' to each side of the equation.
-5 + 5 + 3x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 7 + 5
3x = 7 + 5

Combine like terms: 7 + 5 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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