7x-51=4x-6

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Solution for 7x-51=4x-6 equation:


Simplifying
7x + -51 = 4x + -6

Reorder the terms:
-51 + 7x = 4x + -6

Reorder the terms:
-51 + 7x = -6 + 4x

Solving
-51 + 7x = -6 + 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.
-51 + 7x + -4x = -6 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-51 + 3x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-51 + 3x = -6 + 0
-51 + 3x = -6

Add '51' to each side of the equation.
-51 + 51 + 3x = -6 + 51

Combine like terms: -51 + 51 = 0
0 + 3x = -6 + 51
3x = -6 + 51

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

Divide each side by '3'.
x = 15

Simplifying
x = 15

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