3x+5y+4z=7

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Solution for 3x+5y+4z=7 equation:


Simplifying
3x + 5y + 4z = 7

Solving
3x + 5y + 4z = 7

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
3x + 5y + -5y + 4z = 7 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 + 4z = 7 + -5y
3x + 4z = 7 + -5y

Add '-4z' to each side of the equation.
3x + 4z + -4z = 7 + -5y + -4z

Combine like terms: 4z + -4z = 0
3x + 0 = 7 + -5y + -4z
3x = 7 + -5y + -4z

Divide each side by '3'.
x = 2.333333333 + -1.666666667y + -1.333333333z

Simplifying
x = 2.333333333 + -1.666666667y + -1.333333333z

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