4(x+3)-2(5x+1)=2(y+16)

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Solution for 4(x+3)-2(5x+1)=2(y+16) equation: 


Simplifying
4(x + 3) + -2(5x + 1) = 2(y + 16)

Reorder the terms:
4(3 + x) + -2(5x + 1) = 2(y + 16)
(3 * 4 + x * 4) + -2(5x + 1) = 2(y + 16)
(12 + 4x) + -2(5x + 1) = 2(y + 16)

Reorder the terms:
12 + 4x + -2(1 + 5x) = 2(y + 16)
12 + 4x + (1 * -2 + 5x * -2) = 2(y + 16)
12 + 4x + (-2 + -10x) = 2(y + 16)

Reorder the terms:
12 + -2 + 4x + -10x = 2(y + 16)

Combine like terms: 12 + -2 = 10
10 + 4x + -10x = 2(y + 16)

Combine like terms: 4x + -10x = -6x
10 + -6x = 2(y + 16)

Reorder the terms:
10 + -6x = 2(16 + y)
10 + -6x = (16 * 2 + y * 2)
10 + -6x = (32 + 2y)

Solving
10 + -6x = 32 + 2y

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -6x = 32 + -10 + 2y

Combine like terms: 10 + -10 = 0
0 + -6x = 32 + -10 + 2y
-6x = 32 + -10 + 2y

Combine like terms: 32 + -10 = 22
-6x = 22 + 2y

Divide each side by '-6'.
x = -3.666666667 + -0.3333333333y

Simplifying
x = -3.666666667 + -0.3333333333y

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