2(x+5)-(24-x)=3x-14

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Solution for 2(x+5)-(24-x)=3x-14 equation:


Simplifying
2(x + 5) + -1(24 + -1x) = 3x + -14

Reorder the terms:
2(5 + x) + -1(24 + -1x) = 3x + -14
(5 * 2 + x * 2) + -1(24 + -1x) = 3x + -14
(10 + 2x) + -1(24 + -1x) = 3x + -14
10 + 2x + (24 * -1 + -1x * -1) = 3x + -14
10 + 2x + (-24 + 1x) = 3x + -14

Reorder the terms:
10 + -24 + 2x + 1x = 3x + -14

Combine like terms: 10 + -24 = -14
-14 + 2x + 1x = 3x + -14

Combine like terms: 2x + 1x = 3x
-14 + 3x = 3x + -14

Reorder the terms:
-14 + 3x = -14 + 3x

Add '14' to each side of the equation.
-14 + 14 + 3x = -14 + 14 + 3x

Combine like terms: -14 + 14 = 0
0 + 3x = -14 + 14 + 3x
3x = -14 + 14 + 3x

Combine like terms: -14 + 14 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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