4(x+5)+4=8x+(5-x)

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Solution for 4(x+5)+4=8x+(5-x) equation:


Simplifying
4(x + 5) + 4 = 8x + (5 + -1x)

Reorder the terms:
4(5 + x) + 4 = 8x + (5 + -1x)
(5 * 4 + x * 4) + 4 = 8x + (5 + -1x)
(20 + 4x) + 4 = 8x + (5 + -1x)

Reorder the terms:
20 + 4 + 4x = 8x + (5 + -1x)

Combine like terms: 20 + 4 = 24
24 + 4x = 8x + (5 + -1x)

Remove parenthesis around (5 + -1x)
24 + 4x = 8x + 5 + -1x

Reorder the terms:
24 + 4x = 5 + 8x + -1x

Combine like terms: 8x + -1x = 7x
24 + 4x = 5 + 7x

Solving
24 + 4x = 5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
24 + 4x + -7x = 5 + 7x + -7x

Combine like terms: 4x + -7x = -3x
24 + -3x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -3x = 5 + 0
24 + -3x = 5

Add '-24' to each side of the equation.
24 + -24 + -3x = 5 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = 5 + -24
-3x = 5 + -24

Combine like terms: 5 + -24 = -19
-3x = -19

Divide each side by '-3'.
x = 6.333333333

Simplifying
x = 6.333333333

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