3(7x-3)=2(5-3x)

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Solution for 3(7x-3)=2(5-3x) equation:


Simplifying
3(7x + -3) = 2(5 + -3x)

Reorder the terms:
3(-3 + 7x) = 2(5 + -3x)
(-3 * 3 + 7x * 3) = 2(5 + -3x)
(-9 + 21x) = 2(5 + -3x)
-9 + 21x = (5 * 2 + -3x * 2)
-9 + 21x = (10 + -6x)

Solving
-9 + 21x = 10 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-9 + 21x + 6x = 10 + -6x + 6x

Combine like terms: 21x + 6x = 27x
-9 + 27x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
-9 + 27x = 10 + 0
-9 + 27x = 10

Add '9' to each side of the equation.
-9 + 9 + 27x = 10 + 9

Combine like terms: -9 + 9 = 0
0 + 27x = 10 + 9
27x = 10 + 9

Combine like terms: 10 + 9 = 19
27x = 19

Divide each side by '27'.
x = 0.7037037037

Simplifying
x = 0.7037037037

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