7x-21=-2x+24

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Solution for 7x-21=-2x+24 equation:


Simplifying
7x + -21 = -2x + 24

Reorder the terms:
-21 + 7x = -2x + 24

Reorder the terms:
-21 + 7x = 24 + -2x

Solving
-21 + 7x = 24 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-21 + 7x + 2x = 24 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-21 + 9x = 24 + -2x + 2x

Combine like terms: -2x + 2x = 0
-21 + 9x = 24 + 0
-21 + 9x = 24

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

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

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

Divide each side by '9'.
x = 5

Simplifying
x = 5

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