4(3x+5y+2z)+3(x-z)=a

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Solution for 4(3x+5y+2z)+3(x-z)=a equation: 


Simplifying
4(3x + 5y + 2z) + 3(x + -1z) = a
(3x * 4 + 5y * 4 + 2z * 4) + 3(x + -1z) = a
(12x + 20y + 8z) + 3(x + -1z) = a
12x + 20y + 8z + (x * 3 + -1z * 3) = a
12x + 20y + 8z + (3x + -3z) = a

Reorder the terms:
12x + 3x + 20y + 8z + -3z = a

Combine like terms: 12x + 3x = 15x
15x + 20y + 8z + -3z = a

Combine like terms: 8z + -3z = 5z
15x + 20y + 5z = a

Solving
15x + 20y + 5z = a

Solving for variable 'x'.

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

Add '-20y' to each side of the equation.
15x + 20y + -20y + 5z = a + -20y

Combine like terms: 20y + -20y = 0
15x + 0 + 5z = a + -20y
15x + 5z = a + -20y

Add '-5z' to each side of the equation.
15x + 5z + -5z = a + -20y + -5z

Combine like terms: 5z + -5z = 0
15x + 0 = a + -20y + -5z
15x = a + -20y + -5z

Divide each side by '15'.
x = 0.06666666667a + -1.333333333y + -0.3333333333z

Simplifying
x = 0.06666666667a + -1.333333333y + -0.3333333333z

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