6(x-3)-(6x+6)=2(4x+5)

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Solution for 6(x-3)-(6x+6)=2(4x+5) equation:


Simplifying
6(x + -3) + -1(6x + 6) = 2(4x + 5)

Reorder the terms:
6(-3 + x) + -1(6x + 6) = 2(4x + 5)
(-3 * 6 + x * 6) + -1(6x + 6) = 2(4x + 5)
(-18 + 6x) + -1(6x + 6) = 2(4x + 5)

Reorder the terms:
-18 + 6x + -1(6 + 6x) = 2(4x + 5)
-18 + 6x + (6 * -1 + 6x * -1) = 2(4x + 5)
-18 + 6x + (-6 + -6x) = 2(4x + 5)

Reorder the terms:
-18 + -6 + 6x + -6x = 2(4x + 5)

Combine like terms: -18 + -6 = -24
-24 + 6x + -6x = 2(4x + 5)

Combine like terms: 6x + -6x = 0
-24 + 0 = 2(4x + 5)
-24 = 2(4x + 5)

Reorder the terms:
-24 = 2(5 + 4x)
-24 = (5 * 2 + 4x * 2)
-24 = (10 + 8x)

Solving
-24 = 10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-24 + -8x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-24 + -8x = 10 + 0
-24 + -8x = 10

Add '24' to each side of the equation.
-24 + 24 + -8x = 10 + 24

Combine like terms: -24 + 24 = 0
0 + -8x = 10 + 24
-8x = 10 + 24

Combine like terms: 10 + 24 = 34
-8x = 34

Divide each side by '-8'.
x = -4.25

Simplifying
x = -4.25

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