6-2(x+7)=10-24

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Solution for 6-2(x+7)=10-24 equation:


Simplifying
6 + -2(x + 7) = 10 + -24

Reorder the terms:
6 + -2(7 + x) = 10 + -24
6 + (7 * -2 + x * -2) = 10 + -24
6 + (-14 + -2x) = 10 + -24

Combine like terms: 6 + -14 = -8
-8 + -2x = 10 + -24

Combine like terms: 10 + -24 = -14
-8 + -2x = -14

Solving
-8 + -2x = -14

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -2x = -14 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -14 + 8
-2x = -14 + 8

Combine like terms: -14 + 8 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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