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

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


Simplifying
3(x + -5) = 2(7 + -1x)

Reorder the terms:
3(-5 + x) = 2(7 + -1x)
(-5 * 3 + x * 3) = 2(7 + -1x)
(-15 + 3x) = 2(7 + -1x)
-15 + 3x = (7 * 2 + -1x * 2)
-15 + 3x = (14 + -2x)

Solving
-15 + 3x = 14 + -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.
-15 + 3x + 2x = 14 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-15 + 5x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 5x = 14 + 0
-15 + 5x = 14

Add '15' to each side of the equation.
-15 + 15 + 5x = 14 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 14 + 15
5x = 14 + 15

Combine like terms: 14 + 15 = 29
5x = 29

Divide each side by '5'.
x = 5.8

Simplifying
x = 5.8

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