7(5x+6)=23-(x+5)

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Solution for 7(5x+6)=23-(x+5) equation:


Simplifying
7(5x + 6) = 23 + -1(x + 5)

Reorder the terms:
7(6 + 5x) = 23 + -1(x + 5)
(6 * 7 + 5x * 7) = 23 + -1(x + 5)
(42 + 35x) = 23 + -1(x + 5)

Reorder the terms:
42 + 35x = 23 + -1(5 + x)
42 + 35x = 23 + (5 * -1 + x * -1)
42 + 35x = 23 + (-5 + -1x)

Combine like terms: 23 + -5 = 18
42 + 35x = 18 + -1x

Solving
42 + 35x = 18 + -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.
42 + 35x + x = 18 + -1x + x

Combine like terms: 35x + x = 36x
42 + 36x = 18 + -1x + x

Combine like terms: -1x + x = 0
42 + 36x = 18 + 0
42 + 36x = 18

Add '-42' to each side of the equation.
42 + -42 + 36x = 18 + -42

Combine like terms: 42 + -42 = 0
0 + 36x = 18 + -42
36x = 18 + -42

Combine like terms: 18 + -42 = -24
36x = -24

Divide each side by '36'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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