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

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


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

Reorder the terms:
7(2 + x) = 4(9 + -1x)
(2 * 7 + x * 7) = 4(9 + -1x)
(14 + 7x) = 4(9 + -1x)
14 + 7x = (9 * 4 + -1x * 4)
14 + 7x = (36 + -4x)

Solving
14 + 7x = 36 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
14 + 7x + 4x = 36 + -4x + 4x

Combine like terms: 7x + 4x = 11x
14 + 11x = 36 + -4x + 4x

Combine like terms: -4x + 4x = 0
14 + 11x = 36 + 0
14 + 11x = 36

Add '-14' to each side of the equation.
14 + -14 + 11x = 36 + -14

Combine like terms: 14 + -14 = 0
0 + 11x = 36 + -14
11x = 36 + -14

Combine like terms: 36 + -14 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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