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

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


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

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

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

Combine like terms: 4 + 5 = 9
9 + 4x = 6(x + -1) + c

Reorder the terms:
9 + 4x = 6(-1 + x) + c
9 + 4x = (-1 * 6 + x * 6) + c
9 + 4x = (-6 + 6x) + c

Reorder the terms:
9 + 4x = -6 + c + 6x

Solving
9 + 4x = -6 + c + 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.
9 + 4x + -6x = -6 + c + 6x + -6x

Combine like terms: 4x + -6x = -2x
9 + -2x = -6 + c + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -2x = -6 + c + 0
9 + -2x = -6 + c

Add '-9' to each side of the equation.
9 + -9 + -2x = -6 + -9 + c

Combine like terms: 9 + -9 = 0
0 + -2x = -6 + -9 + c
-2x = -6 + -9 + c

Combine like terms: -6 + -9 = -15
-2x = -15 + c

Divide each side by '-2'.
x = 7.5 + -0.5c

Simplifying
x = 7.5 + -0.5c

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