4x-6=x+45

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Solution for 4x-6=x+45 equation:


Simplifying
4x + -6 = x + 45

Reorder the terms:
-6 + 4x = x + 45

Reorder the terms:
-6 + 4x = 45 + x

Solving
-6 + 4x = 45 + 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.
-6 + 4x + -1x = 45 + x + -1x

Combine like terms: 4x + -1x = 3x
-6 + 3x = 45 + x + -1x

Combine like terms: x + -1x = 0
-6 + 3x = 45 + 0
-6 + 3x = 45

Add '6' to each side of the equation.
-6 + 6 + 3x = 45 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 45 + 6
3x = 45 + 6

Combine like terms: 45 + 6 = 51
3x = 51

Divide each side by '3'.
x = 17

Simplifying
x = 17

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