C+6(x-1)-(4-x)=-10

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Solution for C+6(x-1)-(4-x)=-10 equation: 


Simplifying
C + 6(x + -1) + -1(4 + -1x) = -10

Reorder the terms:
C + 6(-1 + x) + -1(4 + -1x) = -10
C + (-1 * 6 + x * 6) + -1(4 + -1x) = -10
C + (-6 + 6x) + -1(4 + -1x) = -10
C + -6 + 6x + (4 * -1 + -1x * -1) = -10
C + -6 + 6x + (-4 + 1x) = -10

Reorder the terms:
-6 + -4 + C + 6x + 1x = -10

Combine like terms: -6 + -4 = -10
-10 + C + 6x + 1x = -10

Combine like terms: 6x + 1x = 7x
-10 + C + 7x = -10

Add '10' to each side of the equation.
-10 + C + 10 + 7x = -10 + 10

Reorder the terms:
-10 + 10 + C + 7x = -10 + 10

Combine like terms: -10 + 10 = 0
0 + C + 7x = -10 + 10
C + 7x = -10 + 10

Combine like terms: -10 + 10 = 0
C + 7x = 0

Solving
C + 7x = 0

Solving for variable 'C'.

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

Add '-7x' to each side of the equation.
C + 7x + -7x = 0 + -7x

Combine like terms: 7x + -7x = 0
C + 0 = 0 + -7x
C = 0 + -7x
Remove the zero:
C = -7x

Simplifying
C = -7x

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