x*4+51=x*6-5

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Solution for x*4+51=x*6-5 equation:


Simplifying
x * 4 + 51 = x * 6 + -5

Reorder the terms for easier multiplication:
4x + 51 = x * 6 + -5

Reorder the terms:
51 + 4x = x * 6 + -5

Reorder the terms for easier multiplication:
51 + 4x = 6x + -5

Reorder the terms:
51 + 4x = -5 + 6x

Solving
51 + 4x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
51 + 4x + -6x = -5 + 6x + -6x

Combine like terms: 4x + -6x = -2x
51 + -2x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
51 + -2x = -5 + 0
51 + -2x = -5

Add '-51' to each side of the equation.
51 + -51 + -2x = -5 + -51

Combine like terms: 51 + -51 = 0
0 + -2x = -5 + -51
-2x = -5 + -51

Combine like terms: -5 + -51 = -56
-2x = -56

Divide each side by '-2'.
x = 28

Simplifying
x = 28

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