-6+2[5(x+1)+8]=38

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Solution for -6+2[5(x+1)+8]=38 equation:


Simplifying
-6 + 2[5(x + 1) + 8] = 38

Reorder the terms:
-6 + 2[5(1 + x) + 8] = 38
-6 + 2[(1 * 5 + x * 5) + 8] = 38
-6 + 2[(5 + 5x) + 8] = 38

Reorder the terms:
-6 + 2[5 + 8 + 5x] = 38

Combine like terms: 5 + 8 = 13
-6 + 2[13 + 5x] = 38
-6 + [13 * 2 + 5x * 2] = 38
-6 + [26 + 10x] = 38

Combine like terms: -6 + 26 = 20
20 + 10x = 38

Solving
20 + 10x = 38

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 10x = 38 + -20

Combine like terms: 20 + -20 = 0
0 + 10x = 38 + -20
10x = 38 + -20

Combine like terms: 38 + -20 = 18
10x = 18

Divide each side by '10'.
x = 1.8

Simplifying
x = 1.8

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