5x+5y-3(5x-3y+8z)=

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Solution for 5x+5y-3(5x-3y+8z)= equation:


Simplifying
5x + 5y + -3(5x + -3y + 8z) = 0
5x + 5y + (5x * -3 + -3y * -3 + 8z * -3) = 0
5x + 5y + (-15x + 9y + -24z) = 0

Reorder the terms:
5x + -15x + 5y + 9y + -24z = 0

Combine like terms: 5x + -15x = -10x
-10x + 5y + 9y + -24z = 0

Combine like terms: 5y + 9y = 14y
-10x + 14y + -24z = 0

Solving
-10x + 14y + -24z = 0

Solving for variable 'x'.

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

Add '-14y' to each side of the equation.
-10x + 14y + -14y + -24z = 0 + -14y

Combine like terms: 14y + -14y = 0
-10x + 0 + -24z = 0 + -14y
-10x + -24z = 0 + -14y
Remove the zero:
-10x + -24z = -14y

Add '24z' to each side of the equation.
-10x + -24z + 24z = -14y + 24z

Combine like terms: -24z + 24z = 0
-10x + 0 = -14y + 24z
-10x = -14y + 24z

Divide each side by '-10'.
x = 1.4y + -2.4z

Simplifying
x = 1.4y + -2.4z

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