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

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


Simplifying
7(x + -2) = 3(3 + -1x)

Reorder the terms:
7(-2 + x) = 3(3 + -1x)
(-2 * 7 + x * 7) = 3(3 + -1x)
(-14 + 7x) = 3(3 + -1x)
-14 + 7x = (3 * 3 + -1x * 3)
-14 + 7x = (9 + -3x)

Solving
-14 + 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.
-14 + 7x + 3x = 9 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-14 + 10x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-14 + 10x = 9 + 0
-14 + 10x = 9

Add '14' to each side of the equation.
-14 + 14 + 10x = 9 + 14

Combine like terms: -14 + 14 = 0
0 + 10x = 9 + 14
10x = 9 + 14

Combine like terms: 9 + 14 = 23
10x = 23

Divide each side by '10'.
x = 2.3

Simplifying
x = 2.3

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