5x+4(x+4)=2(x+22)

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Solution for 5x+4(x+4)=2(x+22) equation: 


Simplifying
5x + 4(x + 4) = 2(x + 22)

Reorder the terms:
5x + 4(4 + x) = 2(x + 22)
5x + (4 * 4 + x * 4) = 2(x + 22)
5x + (16 + 4x) = 2(x + 22)

Reorder the terms:
16 + 5x + 4x = 2(x + 22)

Combine like terms: 5x + 4x = 9x
16 + 9x = 2(x + 22)

Reorder the terms:
16 + 9x = 2(22 + x)
16 + 9x = (22 * 2 + x * 2)
16 + 9x = (44 + 2x)

Solving
16 + 9x = 44 + 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.
16 + 9x + -2x = 44 + 2x + -2x

Combine like terms: 9x + -2x = 7x
16 + 7x = 44 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 7x = 44 + 0
16 + 7x = 44

Add '-16' to each side of the equation.
16 + -16 + 7x = 44 + -16

Combine like terms: 16 + -16 = 0
0 + 7x = 44 + -16
7x = 44 + -16

Combine like terms: 44 + -16 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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