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 = -14
-14 + 2x + -4x = -4(x + 1)

Combine like terms: 2x + -4x = -2x
-14 + -2x = -4(x + 1)

Reorder the terms:
-14 + -2x = -4(1 + x)
-14 + -2x = (1 * -4 + x * -4)
-14 + -2x = (-4 + -4x)

Solving
-14 + -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.
-14 + -2x + 4x = -4 + -4x + 4x

Combine like terms: -2x + 4x = 2x
-14 + 2x = -4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-14 + 2x = -4 + 0
-14 + 2x = -4

Add '14' to each side of the equation.
-14 + 14 + 2x = -4 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = -4 + 14
2x = -4 + 14

Combine like terms: -4 + 14 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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