10+3(4-6x)=-(6x+12)

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Solution for 10+3(4-6x)=-(6x+12) equation:


Simplifying
10 + 3(4 + -6x) = -1(6x + 12)
10 + (4 * 3 + -6x * 3) = -1(6x + 12)
10 + (12 + -18x) = -1(6x + 12)

Combine like terms: 10 + 12 = 22
22 + -18x = -1(6x + 12)

Reorder the terms:
22 + -18x = -1(12 + 6x)
22 + -18x = (12 * -1 + 6x * -1)
22 + -18x = (-12 + -6x)

Solving
22 + -18x = -12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
22 + -18x + 6x = -12 + -6x + 6x

Combine like terms: -18x + 6x = -12x
22 + -12x = -12 + -6x + 6x

Combine like terms: -6x + 6x = 0
22 + -12x = -12 + 0
22 + -12x = -12

Add '-22' to each side of the equation.
22 + -22 + -12x = -12 + -22

Combine like terms: 22 + -22 = 0
0 + -12x = -12 + -22
-12x = -12 + -22

Combine like terms: -12 + -22 = -34
-12x = -34

Divide each side by '-12'.
x = 2.833333333

Simplifying
x = 2.833333333

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