(x+4)-(x-1)=6x

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Solution for (x+4)-(x-1)=6x equation:


Simplifying
(x + 4) + -1(x + -1) = 6x

Reorder the terms:
(4 + x) + -1(x + -1) = 6x

Remove parenthesis around (4 + x)
4 + x + -1(x + -1) = 6x

Reorder the terms:
4 + x + -1(-1 + x) = 6x
4 + x + (-1 * -1 + x * -1) = 6x
4 + x + (1 + -1x) = 6x

Reorder the terms:
4 + 1 + x + -1x = 6x

Combine like terms: 4 + 1 = 5
5 + x + -1x = 6x

Combine like terms: x + -1x = 0
5 + 0 = 6x
5 = 6x

Solving
5 = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -6x = 0

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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