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

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


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

Combine like terms: 3 + -2 = 1
-8 + -4x + -1(1) = -2(x + 3)

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

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

Combine like terms: -8 + -1 = -9
-9 + -4x = -2(x + 3)

Reorder the terms:
-9 + -4x = -2(3 + x)
-9 + -4x = (3 * -2 + x * -2)
-9 + -4x = (-6 + -2x)

Solving
-9 + -4x = -6 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-9 + -4x + 2x = -6 + -2x + 2x

Combine like terms: -4x + 2x = -2x
-9 + -2x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + -2x = -6 + 0
-9 + -2x = -6

Add '9' to each side of the equation.
-9 + 9 + -2x = -6 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = -6 + 9
-2x = -6 + 9

Combine like terms: -6 + 9 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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