6(x+5)=23-x

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Solution for 6(x+5)=23-x equation:


Simplifying
6(x + 5) = 23 + -1x

Reorder the terms:
6(5 + x) = 23 + -1x
(5 * 6 + x * 6) = 23 + -1x
(30 + 6x) = 23 + -1x

Solving
30 + 6x = 23 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
30 + 6x + x = 23 + -1x + x

Combine like terms: 6x + x = 7x
30 + 7x = 23 + -1x + x

Combine like terms: -1x + x = 0
30 + 7x = 23 + 0
30 + 7x = 23

Add '-30' to each side of the equation.
30 + -30 + 7x = 23 + -30

Combine like terms: 30 + -30 = 0
0 + 7x = 23 + -30
7x = 23 + -30

Combine like terms: 23 + -30 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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