-10x-2(6+3x)=x-46

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Solution for -10x-2(6+3x)=x-46 equation:


Simplifying
-10x + -2(6 + 3x) = x + -46
-10x + (6 * -2 + 3x * -2) = x + -46
-10x + (-12 + -6x) = x + -46

Reorder the terms:
-12 + -10x + -6x = x + -46

Combine like terms: -10x + -6x = -16x
-12 + -16x = x + -46

Reorder the terms:
-12 + -16x = -46 + x

Solving
-12 + -16x = -46 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + -16x + -1x = -46 + x + -1x

Combine like terms: -16x + -1x = -17x
-12 + -17x = -46 + x + -1x

Combine like terms: x + -1x = 0
-12 + -17x = -46 + 0
-12 + -17x = -46

Add '12' to each side of the equation.
-12 + 12 + -17x = -46 + 12

Combine like terms: -12 + 12 = 0
0 + -17x = -46 + 12
-17x = -46 + 12

Combine like terms: -46 + 12 = -34
-17x = -34

Divide each side by '-17'.
x = 2

Simplifying
x = 2

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