6(x+1)+5=13-2x-3

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Solution for 6(x+1)+5=13-2x-3 equation:


Simplifying
6(x + 1) + 5 = 13 + -2x + -3

Reorder the terms:
6(1 + x) + 5 = 13 + -2x + -3
(1 * 6 + x * 6) + 5 = 13 + -2x + -3
(6 + 6x) + 5 = 13 + -2x + -3

Reorder the terms:
6 + 5 + 6x = 13 + -2x + -3

Combine like terms: 6 + 5 = 11
11 + 6x = 13 + -2x + -3

Reorder the terms:
11 + 6x = 13 + -3 + -2x

Combine like terms: 13 + -3 = 10
11 + 6x = 10 + -2x

Solving
11 + 6x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
11 + 6x + 2x = 10 + -2x + 2x

Combine like terms: 6x + 2x = 8x
11 + 8x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + 8x = 10 + 0
11 + 8x = 10

Add '-11' to each side of the equation.
11 + -11 + 8x = 10 + -11

Combine like terms: 11 + -11 = 0
0 + 8x = 10 + -11
8x = 10 + -11

Combine like terms: 10 + -11 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125

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