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

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


Simplifying
3(7 + -1x) = 2(5 + x)
(7 * 3 + -1x * 3) = 2(5 + x)
(21 + -3x) = 2(5 + x)
21 + -3x = (5 * 2 + x * 2)
21 + -3x = (10 + 2x)

Solving
21 + -3x = 10 + 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.
21 + -3x + -2x = 10 + 2x + -2x

Combine like terms: -3x + -2x = -5x
21 + -5x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -5x = 10 + 0
21 + -5x = 10

Add '-21' to each side of the equation.
21 + -21 + -5x = 10 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = 10 + -21
-5x = 10 + -21

Combine like terms: 10 + -21 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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