5x+4(x+6)=2(x+26)

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Solution for 5x+4(x+6)=2(x+26) equation:


Simplifying
5x + 4(x + 6) = 2(x + 26)

Reorder the terms:
5x + 4(6 + x) = 2(x + 26)
5x + (6 * 4 + x * 4) = 2(x + 26)
5x + (24 + 4x) = 2(x + 26)

Reorder the terms:
24 + 5x + 4x = 2(x + 26)

Combine like terms: 5x + 4x = 9x
24 + 9x = 2(x + 26)

Reorder the terms:
24 + 9x = 2(26 + x)
24 + 9x = (26 * 2 + x * 2)
24 + 9x = (52 + 2x)

Solving
24 + 9x = 52 + 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.
24 + 9x + -2x = 52 + 2x + -2x

Combine like terms: 9x + -2x = 7x
24 + 7x = 52 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 7x = 52 + 0
24 + 7x = 52

Add '-24' to each side of the equation.
24 + -24 + 7x = 52 + -24

Combine like terms: 24 + -24 = 0
0 + 7x = 52 + -24
7x = 52 + -24

Combine like terms: 52 + -24 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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