3(x-2)-2(x-1)=-5-4x

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Solution for 3(x-2)-2(x-1)=-5-4x equation: 


Simplifying
3(x + -2) + -2(x + -1) = -5 + -4x

Reorder the terms:
3(-2 + x) + -2(x + -1) = -5 + -4x
(-2 * 3 + x * 3) + -2(x + -1) = -5 + -4x
(-6 + 3x) + -2(x + -1) = -5 + -4x

Reorder the terms:
-6 + 3x + -2(-1 + x) = -5 + -4x
-6 + 3x + (-1 * -2 + x * -2) = -5 + -4x
-6 + 3x + (2 + -2x) = -5 + -4x

Reorder the terms:
-6 + 2 + 3x + -2x = -5 + -4x

Combine like terms: -6 + 2 = -4
-4 + 3x + -2x = -5 + -4x

Combine like terms: 3x + -2x = 1x
-4 + 1x = -5 + -4x

Solving
-4 + 1x = -5 + -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.
-4 + 1x + 4x = -5 + -4x + 4x

Combine like terms: 1x + 4x = 5x
-4 + 5x = -5 + -4x + 4x

Combine like terms: -4x + 4x = 0
-4 + 5x = -5 + 0
-4 + 5x = -5

Add '4' to each side of the equation.
-4 + 4 + 5x = -5 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = -5 + 4
5x = -5 + 4

Combine like terms: -5 + 4 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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