(x+1)=26-2(5x-8)

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Solution for (x+1)=26-2(5x-8) equation:


Simplifying
(x + 1) = 26 + -2(5x + -8)

Reorder the terms:
(1 + x) = 26 + -2(5x + -8)

Remove parenthesis around (1 + x)
1 + x = 26 + -2(5x + -8)

Reorder the terms:
1 + x = 26 + -2(-8 + 5x)
1 + x = 26 + (-8 * -2 + 5x * -2)
1 + x = 26 + (16 + -10x)

Combine like terms: 26 + 16 = 42
1 + x = 42 + -10x

Solving
1 + x = 42 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
1 + x + 10x = 42 + -10x + 10x

Combine like terms: x + 10x = 11x
1 + 11x = 42 + -10x + 10x

Combine like terms: -10x + 10x = 0
1 + 11x = 42 + 0
1 + 11x = 42

Add '-1' to each side of the equation.
1 + -1 + 11x = 42 + -1

Combine like terms: 1 + -1 = 0
0 + 11x = 42 + -1
11x = 42 + -1

Combine like terms: 42 + -1 = 41
11x = 41

Divide each side by '11'.
x = 3.727272727

Simplifying
x = 3.727272727

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