4x+51=10x-9

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Solution for 4x+51=10x-9 equation:


Simplifying
4x + 51 = 10x + -9

Reorder the terms:
51 + 4x = 10x + -9

Reorder the terms:
51 + 4x = -9 + 10x

Solving
51 + 4x = -9 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
51 + 4x + -10x = -9 + 10x + -10x

Combine like terms: 4x + -10x = -6x
51 + -6x = -9 + 10x + -10x

Combine like terms: 10x + -10x = 0
51 + -6x = -9 + 0
51 + -6x = -9

Add '-51' to each side of the equation.
51 + -51 + -6x = -9 + -51

Combine like terms: 51 + -51 = 0
0 + -6x = -9 + -51
-6x = -9 + -51

Combine like terms: -9 + -51 = -60
-6x = -60

Divide each side by '-6'.
x = 10

Simplifying
x = 10

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