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

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


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

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

Reorder the terms:
6 + 2x + -4(2 + x) = -4(x + -1)
6 + 2x + (2 * -4 + x * -4) = -4(x + -1)
6 + 2x + (-8 + -4x) = -4(x + -1)

Reorder the terms:
6 + -8 + 2x + -4x = -4(x + -1)

Combine like terms: 6 + -8 = -2
-2 + 2x + -4x = -4(x + -1)

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

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

Solving
-2 + -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.
-2 + -2x + 4x = 4 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
-2 + 2x = 4 + 0
-2 + 2x = 4

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

Combine like terms: -2 + 2 = 0
0 + 2x = 4 + 2
2x = 4 + 2

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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