6(3+x)=5(5-x)

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Solution for 6(3+x)=5(5-x) equation:


Simplifying
6(3 + x) = 5(5 + -1x)
(3 * 6 + x * 6) = 5(5 + -1x)
(18 + 6x) = 5(5 + -1x)
18 + 6x = (5 * 5 + -1x * 5)
18 + 6x = (25 + -5x)

Solving
18 + 6x = 25 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
18 + 6x + 5x = 25 + -5x + 5x

Combine like terms: 6x + 5x = 11x
18 + 11x = 25 + -5x + 5x

Combine like terms: -5x + 5x = 0
18 + 11x = 25 + 0
18 + 11x = 25

Add '-18' to each side of the equation.
18 + -18 + 11x = 25 + -18

Combine like terms: 18 + -18 = 0
0 + 11x = 25 + -18
11x = 25 + -18

Combine like terms: 25 + -18 = 7
11x = 7

Divide each side by '11'.
x = 0.6363636364

Simplifying
x = 0.6363636364

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