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

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


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

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

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

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

Reorder the terms:
-6 + 2x = -4(1 + x)
-6 + 2x = (1 * -4 + x * -4)
-6 + 2x = (-4 + -4x)

Solving
-6 + 2x = -4 + -4x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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