x+(x+1)=4x-8

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Solution for x+(x+1)=4x-8 equation:


Simplifying
x + (x + 1) = 4x + -8

Reorder the terms:
x + (1 + x) = 4x + -8

Remove parenthesis around (1 + x)
x + 1 + x = 4x + -8

Reorder the terms:
1 + x + x = 4x + -8

Combine like terms: x + x = 2x
1 + 2x = 4x + -8

Reorder the terms:
1 + 2x = -8 + 4x

Solving
1 + 2x = -8 + 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.
1 + 2x + -4x = -8 + 4x + -4x

Combine like terms: 2x + -4x = -2x
1 + -2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -2x = -8 + 0
1 + -2x = -8

Add '-1' to each side of the equation.
1 + -1 + -2x = -8 + -1

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

Combine like terms: -8 + -1 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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