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

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


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

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

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

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

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

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

Solving
2 + 1x = 4 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2 + 1x + 5x = 4 + -5x + 5x

Combine like terms: 1x + 5x = 6x
2 + 6x = 4 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 6x = 4 + 0
2 + 6x = 4

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

Combine like terms: 2 + -2 = 0
0 + 6x = 4 + -2
6x = 4 + -2

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

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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