6(3-x)+(-20)=10+3(4x+2)

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Solution for 6(3-x)+(-20)=10+3(4x+2) equation:


Simplifying
6(3 + -1x) + (-20) = 10 + 3(4x + 2)
(3 * 6 + -1x * 6) + (-20) = 10 + 3(4x + 2)
(18 + -6x) + (-20) = 10 + 3(4x + 2)
18 + -6x + -20 = 10 + 3(4x + 2)

Reorder the terms:
18 + -20 + -6x = 10 + 3(4x + 2)

Combine like terms: 18 + -20 = -2
-2 + -6x = 10 + 3(4x + 2)

Reorder the terms:
-2 + -6x = 10 + 3(2 + 4x)
-2 + -6x = 10 + (2 * 3 + 4x * 3)
-2 + -6x = 10 + (6 + 12x)

Combine like terms: 10 + 6 = 16
-2 + -6x = 16 + 12x

Solving
-2 + -6x = 16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-2 + -6x + -12x = 16 + 12x + -12x

Combine like terms: -6x + -12x = -18x
-2 + -18x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -18x = 16 + 0
-2 + -18x = 16

Add '2' to each side of the equation.
-2 + 2 + -18x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + -18x = 16 + 2
-18x = 16 + 2

Combine like terms: 16 + 2 = 18
-18x = 18

Divide each side by '-18'.
x = -1

Simplifying
x = -1

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