9(x+2)=7(4-x)

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Solution for 9(x+2)=7(4-x) equation:


Simplifying
9(x + 2) = 7(4 + -1x)

Reorder the terms:
9(2 + x) = 7(4 + -1x)
(2 * 9 + x * 9) = 7(4 + -1x)
(18 + 9x) = 7(4 + -1x)
18 + 9x = (4 * 7 + -1x * 7)
18 + 9x = (28 + -7x)

Solving
18 + 9x = 28 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
18 + 9x + 7x = 28 + -7x + 7x

Combine like terms: 9x + 7x = 16x
18 + 16x = 28 + -7x + 7x

Combine like terms: -7x + 7x = 0
18 + 16x = 28 + 0
18 + 16x = 28

Add '-18' to each side of the equation.
18 + -18 + 16x = 28 + -18

Combine like terms: 18 + -18 = 0
0 + 16x = 28 + -18
16x = 28 + -18

Combine like terms: 28 + -18 = 10
16x = 10

Divide each side by '16'.
x = 0.625

Simplifying
x = 0.625

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