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

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


Simplifying
-4(2 + -3x) = -1(4 + x) + -3(x + 2)
(2 * -4 + -3x * -4) = -1(4 + x) + -3(x + 2)
(-8 + 12x) = -1(4 + x) + -3(x + 2)
-8 + 12x = (4 * -1 + x * -1) + -3(x + 2)
-8 + 12x = (-4 + -1x) + -3(x + 2)

Reorder the terms:
-8 + 12x = -4 + -1x + -3(2 + x)
-8 + 12x = -4 + -1x + (2 * -3 + x * -3)
-8 + 12x = -4 + -1x + (-6 + -3x)

Reorder the terms:
-8 + 12x = -4 + -6 + -1x + -3x

Combine like terms: -4 + -6 = -10
-8 + 12x = -10 + -1x + -3x

Combine like terms: -1x + -3x = -4x
-8 + 12x = -10 + -4x

Solving
-8 + 12x = -10 + -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.
-8 + 12x + 4x = -10 + -4x + 4x

Combine like terms: 12x + 4x = 16x
-8 + 16x = -10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 16x = -10 + 0
-8 + 16x = -10

Add '8' to each side of the equation.
-8 + 8 + 16x = -10 + 8

Combine like terms: -8 + 8 = 0
0 + 16x = -10 + 8
16x = -10 + 8

Combine like terms: -10 + 8 = -2
16x = -2

Divide each side by '16'.
x = -0.125

Simplifying
x = -0.125

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