7(x+4)=9x+20

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Solution for 7(x+4)=9x+20 equation:


Simplifying
7(x + 4) = 9x + 20

Reorder the terms:
7(4 + x) = 9x + 20
(4 * 7 + x * 7) = 9x + 20
(28 + 7x) = 9x + 20

Reorder the terms:
28 + 7x = 20 + 9x

Solving
28 + 7x = 20 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
28 + 7x + -9x = 20 + 9x + -9x

Combine like terms: 7x + -9x = -2x
28 + -2x = 20 + 9x + -9x

Combine like terms: 9x + -9x = 0
28 + -2x = 20 + 0
28 + -2x = 20

Add '-28' to each side of the equation.
28 + -28 + -2x = 20 + -28

Combine like terms: 28 + -28 = 0
0 + -2x = 20 + -28
-2x = 20 + -28

Combine like terms: 20 + -28 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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