x+5=6(x+4)

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


Simplifying
x + 5 = 6(x + 4)

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

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

Solving
5 + x = 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 + x + -6x = 24 + 6x + -6x

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

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

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

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

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

Divide each side by '-5'.
x = -3.8

Simplifying
x = -3.8

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