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

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


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

Reorder the terms:
2x + -3(4 + x) = -4(x + -1)
2x + (4 * -3 + x * -3) = -4(x + -1)
2x + (-12 + -3x) = -4(x + -1)

Reorder the terms:
-12 + 2x + -3x = -4(x + -1)

Combine like terms: 2x + -3x = -1x
-12 + -1x = -4(x + -1)

Reorder the terms:
-12 + -1x = -4(-1 + x)
-12 + -1x = (-1 * -4 + x * -4)
-12 + -1x = (4 + -4x)

Solving
-12 + -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.
-12 + -1x + 4x = 4 + -4x + 4x

Combine like terms: -1x + 4x = 3x
-12 + 3x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 3x = 4 + 0
-12 + 3x = 4

Add '12' to each side of the equation.
-12 + 12 + 3x = 4 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 4 + 12
3x = 4 + 12

Combine like terms: 4 + 12 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333

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