5-6(x+2)=x-10

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Solution for 5-6(x+2)=x-10 equation:


Simplifying
5 + -6(x + 2) = x + -10

Reorder the terms:
5 + -6(2 + x) = x + -10
5 + (2 * -6 + x * -6) = x + -10
5 + (-12 + -6x) = x + -10

Combine like terms: 5 + -12 = -7
-7 + -6x = x + -10

Reorder the terms:
-7 + -6x = -10 + x

Solving
-7 + -6x = -10 + 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.
-7 + -6x + -1x = -10 + x + -1x

Combine like terms: -6x + -1x = -7x
-7 + -7x = -10 + x + -1x

Combine like terms: x + -1x = 0
-7 + -7x = -10 + 0
-7 + -7x = -10

Add '7' to each side of the equation.
-7 + 7 + -7x = -10 + 7

Combine like terms: -7 + 7 = 0
0 + -7x = -10 + 7
-7x = -10 + 7

Combine like terms: -10 + 7 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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