8x+(x+1)=16-10(2+x+3)

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Solution for 8x+(x+1)=16-10(2+x+3) equation:


Simplifying
8x + (x + 1) = 16 + -10(2 + x + 3)

Reorder the terms:
8x + (1 + x) = 16 + -10(2 + x + 3)

Remove parenthesis around (1 + x)
8x + 1 + x = 16 + -10(2 + x + 3)

Reorder the terms:
1 + 8x + x = 16 + -10(2 + x + 3)

Combine like terms: 8x + x = 9x
1 + 9x = 16 + -10(2 + x + 3)

Reorder the terms:
1 + 9x = 16 + -10(2 + 3 + x)

Combine like terms: 2 + 3 = 5
1 + 9x = 16 + -10(5 + x)
1 + 9x = 16 + (5 * -10 + x * -10)
1 + 9x = 16 + (-50 + -10x)

Combine like terms: 16 + -50 = -34
1 + 9x = -34 + -10x

Solving
1 + 9x = -34 + -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 + 9x + 10x = -34 + -10x + 10x

Combine like terms: 9x + 10x = 19x
1 + 19x = -34 + -10x + 10x

Combine like terms: -10x + 10x = 0
1 + 19x = -34 + 0
1 + 19x = -34

Add '-1' to each side of the equation.
1 + -1 + 19x = -34 + -1

Combine like terms: 1 + -1 = 0
0 + 19x = -34 + -1
19x = -34 + -1

Combine like terms: -34 + -1 = -35
19x = -35

Divide each side by '19'.
x = -1.842105263

Simplifying
x = -1.842105263

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