5x-2(x+5)=x+21

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Solution for 5x-2(x+5)=x+21 equation:


Simplifying
5x + -2(x + 5) = x + 21

Reorder the terms:
5x + -2(5 + x) = x + 21
5x + (5 * -2 + x * -2) = x + 21
5x + (-10 + -2x) = x + 21

Reorder the terms:
-10 + 5x + -2x = x + 21

Combine like terms: 5x + -2x = 3x
-10 + 3x = x + 21

Reorder the terms:
-10 + 3x = 21 + x

Solving
-10 + 3x = 21 + 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.
-10 + 3x + -1x = 21 + x + -1x

Combine like terms: 3x + -1x = 2x
-10 + 2x = 21 + x + -1x

Combine like terms: x + -1x = 0
-10 + 2x = 21 + 0
-10 + 2x = 21

Add '10' to each side of the equation.
-10 + 10 + 2x = 21 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 21 + 10
2x = 21 + 10

Combine like terms: 21 + 10 = 31
2x = 31

Divide each side by '2'.
x = 15.5

Simplifying
x = 15.5

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