4x+6=-5x+51

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


Simplifying
4x + 6 = -5x + 51

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

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

Solving
6 + 4x = 51 + -5x

Solving for variable 'x'.

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

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

Combine like terms: 4x + 5x = 9x
6 + 9x = 51 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 9x = 51 + 0
6 + 9x = 51

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

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

Combine like terms: 51 + -6 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5

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