2x+-3(x+6)=-4(x-1)

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Solution for 2x+-3(x+6)=-4(x-1) equation: 


Simplifying
2x + -3(x + 6) = -4(x + -1)

Reorder the terms:
2x + -3(6 + x) = -4(x + -1)
2x + (6 * -3 + x * -3) = -4(x + -1)
2x + (-18 + -3x) = -4(x + -1)

Reorder the terms:
-18 + 2x + -3x = -4(x + -1)

Combine like terms: 2x + -3x = -1x
-18 + -1x = -4(x + -1)

Reorder the terms:
-18 + -1x = -4(-1 + x)
-18 + -1x = (-1 * -4 + x * -4)
-18 + -1x = (4 + -4x)

Solving
-18 + -1x = 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.
-18 + -1x + 4x = 4 + -4x + 4x

Combine like terms: -1x + 4x = 3x
-18 + 3x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 3x = 4 + 0
-18 + 3x = 4

Add '18' to each side of the equation.
-18 + 18 + 3x = 4 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = 4 + 18
3x = 4 + 18

Combine like terms: 4 + 18 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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