7(x-3)=-3x+9

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Solution for 7(x-3)=-3x+9 equation:


Simplifying
7(x + -3) = -3x + 9

Reorder the terms:
7(-3 + x) = -3x + 9
(-3 * 7 + x * 7) = -3x + 9
(-21 + 7x) = -3x + 9

Reorder the terms:
-21 + 7x = 9 + -3x

Solving
-21 + 7x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-21 + 7x + 3x = 9 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-21 + 10x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-21 + 10x = 9 + 0
-21 + 10x = 9

Add '21' to each side of the equation.
-21 + 21 + 10x = 9 + 21

Combine like terms: -21 + 21 = 0
0 + 10x = 9 + 21
10x = 9 + 21

Combine like terms: 9 + 21 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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