5(y+x)-4z=-3(y+z)

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Solution for 5(y+x)-4z=-3(y+z) equation:


Simplifying
5(y + x) + -4z = -3(y + z)

Reorder the terms:
5(x + y) + -4z = -3(y + z)
(x * 5 + y * 5) + -4z = -3(y + z)
(5x + 5y) + -4z = -3(y + z)
5x + 5y + -4z = (y * -3 + z * -3)
5x + 5y + -4z = (-3y + -3z)

Solving
5x + 5y + -4z = -3y + -3z

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.
5x + 5y + -5y + -4z = -3y + -5y + -3z

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

Combine like terms: -3y + -5y = -8y
5x + -4z = -8y + -3z

Add '4z' to each side of the equation.
5x + -4z + 4z = -8y + -3z + 4z

Combine like terms: -4z + 4z = 0
5x + 0 = -8y + -3z + 4z
5x = -8y + -3z + 4z

Combine like terms: -3z + 4z = 1z
5x = -8y + 1z

Divide each side by '5'.
x = -1.6y + 0.2z

Simplifying
x = -1.6y + 0.2z

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