5+(4x+1)=(6x+1)-(5x+3)

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Solution for 5+(4x+1)=(6x+1)-(5x+3) equation:


Simplifying
5 + (4x + 1) = (6x + 1) + -1(5x + 3)

Reorder the terms:
5 + (1 + 4x) = (6x + 1) + -1(5x + 3)

Remove parenthesis around (1 + 4x)
5 + 1 + 4x = (6x + 1) + -1(5x + 3)

Combine like terms: 5 + 1 = 6
6 + 4x = (6x + 1) + -1(5x + 3)

Reorder the terms:
6 + 4x = (1 + 6x) + -1(5x + 3)

Remove parenthesis around (1 + 6x)
6 + 4x = 1 + 6x + -1(5x + 3)

Reorder the terms:
6 + 4x = 1 + 6x + -1(3 + 5x)
6 + 4x = 1 + 6x + (3 * -1 + 5x * -1)
6 + 4x = 1 + 6x + (-3 + -5x)

Reorder the terms:
6 + 4x = 1 + -3 + 6x + -5x

Combine like terms: 1 + -3 = -2
6 + 4x = -2 + 6x + -5x

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

Solving
6 + 4x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 4x + -1x = -2 + 1x + -1x

Combine like terms: 4x + -1x = 3x
6 + 3x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 3x = -2 + 0
6 + 3x = -2

Add '-6' to each side of the equation.
6 + -6 + 3x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -2 + -6
3x = -2 + -6

Combine like terms: -2 + -6 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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