8x-6=(x+1)+3x-11

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Solution for 8x-6=(x+1)+3x-11 equation:


Simplifying
8x + -6 = (x + 1) + 3x + -11

Reorder the terms:
-6 + 8x = (x + 1) + 3x + -11

Reorder the terms:
-6 + 8x = (1 + x) + 3x + -11

Remove parenthesis around (1 + x)
-6 + 8x = 1 + x + 3x + -11

Reorder the terms:
-6 + 8x = 1 + -11 + x + 3x

Combine like terms: 1 + -11 = -10
-6 + 8x = -10 + x + 3x

Combine like terms: x + 3x = 4x
-6 + 8x = -10 + 4x

Solving
-6 + 8x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 8x + -4x = -10 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-6 + 4x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 4x = -10 + 0
-6 + 4x = -10

Add '6' to each side of the equation.
-6 + 6 + 4x = -10 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = -10 + 6
4x = -10 + 6

Combine like terms: -10 + 6 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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