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

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


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

Reorder the terms:
5x + 5(4 + x) = 2(x + 26)
5x + (4 * 5 + x * 5) = 2(x + 26)
5x + (20 + 5x) = 2(x + 26)

Reorder the terms:
20 + 5x + 5x = 2(x + 26)

Combine like terms: 5x + 5x = 10x
20 + 10x = 2(x + 26)

Reorder the terms:
20 + 10x = 2(26 + x)
20 + 10x = (26 * 2 + x * 2)
20 + 10x = (52 + 2x)

Solving
20 + 10x = 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.
20 + 10x + -2x = 52 + 2x + -2x

Combine like terms: 10x + -2x = 8x
20 + 8x = 52 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 8x = 52 + 0
20 + 8x = 52

Add '-20' to each side of the equation.
20 + -20 + 8x = 52 + -20

Combine like terms: 20 + -20 = 0
0 + 8x = 52 + -20
8x = 52 + -20

Combine like terms: 52 + -20 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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