x-(4-x)=5(x+1)+1

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Solution for x-(4-x)=5(x+1)+1 equation:


Simplifying
x + -1(4 + -1x) = 5(x + 1) + 1
x + (4 * -1 + -1x * -1) = 5(x + 1) + 1
x + (-4 + 1x) = 5(x + 1) + 1

Reorder the terms:
-4 + x + 1x = 5(x + 1) + 1

Combine like terms: x + 1x = 2x
-4 + 2x = 5(x + 1) + 1

Reorder the terms:
-4 + 2x = 5(1 + x) + 1
-4 + 2x = (1 * 5 + x * 5) + 1
-4 + 2x = (5 + 5x) + 1

Reorder the terms:
-4 + 2x = 5 + 1 + 5x

Combine like terms: 5 + 1 = 6
-4 + 2x = 6 + 5x

Solving
-4 + 2x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + 2x + -5x = 6 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-4 + -3x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + -3x = 6 + 0
-4 + -3x = 6

Add '4' to each side of the equation.
-4 + 4 + -3x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 6 + 4
-3x = 6 + 4

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

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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