5+8(x+2)=6(1+x)-1

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Solution for 5+8(x+2)=6(1+x)-1 equation:


Simplifying
5 + 8(x + 2) = 6(1 + x) + -1

Reorder the terms:
5 + 8(2 + x) = 6(1 + x) + -1
5 + (2 * 8 + x * 8) = 6(1 + x) + -1
5 + (16 + 8x) = 6(1 + x) + -1

Combine like terms: 5 + 16 = 21
21 + 8x = 6(1 + x) + -1
21 + 8x = (1 * 6 + x * 6) + -1
21 + 8x = (6 + 6x) + -1

Reorder the terms:
21 + 8x = 6 + -1 + 6x

Combine like terms: 6 + -1 = 5
21 + 8x = 5 + 6x

Solving
21 + 8x = 5 + 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.
21 + 8x + -6x = 5 + 6x + -6x

Combine like terms: 8x + -6x = 2x
21 + 2x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
21 + 2x = 5 + 0
21 + 2x = 5

Add '-21' to each side of the equation.
21 + -21 + 2x = 5 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = 5 + -21
2x = 5 + -21

Combine like terms: 5 + -21 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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