5(2x-3)-(x+9)=21

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Solution for 5(2x-3)-(x+9)=21 equation:


Simplifying
5(2x + -3) + -1(x + 9) = 21

Reorder the terms:
5(-3 + 2x) + -1(x + 9) = 21
(-3 * 5 + 2x * 5) + -1(x + 9) = 21
(-15 + 10x) + -1(x + 9) = 21

Reorder the terms:
-15 + 10x + -1(9 + x) = 21
-15 + 10x + (9 * -1 + x * -1) = 21
-15 + 10x + (-9 + -1x) = 21

Reorder the terms:
-15 + -9 + 10x + -1x = 21

Combine like terms: -15 + -9 = -24
-24 + 10x + -1x = 21

Combine like terms: 10x + -1x = 9x
-24 + 9x = 21

Solving
-24 + 9x = 21

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 9x = 21 + 24

Combine like terms: -24 + 24 = 0
0 + 9x = 21 + 24
9x = 21 + 24

Combine like terms: 21 + 24 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5

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