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

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


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

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

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

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

Combine like terms: 8x + 2x = 10x
1 + 10x = 3x + -10 + -1x

Reorder the terms:
1 + 10x = -10 + 3x + -1x

Combine like terms: 3x + -1x = 2x
1 + 10x = -10 + 2x

Solving
1 + 10x = -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.
1 + 10x + -2x = -10 + 2x + -2x

Combine like terms: 10x + -2x = 8x
1 + 8x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 8x = -10 + 0
1 + 8x = -10

Add '-1' to each side of the equation.
1 + -1 + 8x = -10 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = -10 + -1
8x = -10 + -1

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

Divide each side by '8'.
x = -1.375

Simplifying
x = -1.375

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