(5x+4)+1=6(x-4)

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Solution for (5x+4)+1=6(x-4) equation:


Simplifying
(5x + 4) + 1 = 6(x + -4)

Reorder the terms:
(4 + 5x) + 1 = 6(x + -4)

Remove parenthesis around (4 + 5x)
4 + 5x + 1 = 6(x + -4)

Reorder the terms:
4 + 1 + 5x = 6(x + -4)

Combine like terms: 4 + 1 = 5
5 + 5x = 6(x + -4)

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

Solving
5 + 5x = -24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 5x + -6x = -24 + 6x + -6x

Combine like terms: 5x + -6x = -1x
5 + -1x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -1x = -24 + 0
5 + -1x = -24

Add '-5' to each side of the equation.
5 + -5 + -1x = -24 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -24 + -5
-1x = -24 + -5

Combine like terms: -24 + -5 = -29
-1x = -29

Divide each side by '-1'.
x = 29

Simplifying
x = 29

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