3(2x-7)=3(x+3)

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Solution for 3(2x-7)=3(x+3) equation:


Simplifying
3(2x + -7) = 3(x + 3)

Reorder the terms:
3(-7 + 2x) = 3(x + 3)
(-7 * 3 + 2x * 3) = 3(x + 3)
(-21 + 6x) = 3(x + 3)

Reorder the terms:
-21 + 6x = 3(3 + x)
-21 + 6x = (3 * 3 + x * 3)
-21 + 6x = (9 + 3x)

Solving
-21 + 6x = 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 + 6x + -3x = 9 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-21 + 3x = 9 + 3x + -3x

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

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

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

Combine like terms: 9 + 21 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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