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

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


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

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

Combine like terms: 2 + -18 = -16
-16 + -3x = -4(x + -1)

Reorder the terms:
-16 + -3x = -4(-1 + x)
-16 + -3x = (-1 * -4 + x * -4)
-16 + -3x = (4 + -4x)

Solving
-16 + -3x = 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.
-16 + -3x + 4x = 4 + -4x + 4x

Combine like terms: -3x + 4x = 1x
-16 + 1x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-16 + 1x = 4 + 0
-16 + 1x = 4

Add '16' to each side of the equation.
-16 + 16 + 1x = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = 4 + 16
1x = 4 + 16

Combine like terms: 4 + 16 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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