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

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


Simplifying
2x + -3(4 + -1x) = 3 + -1(x + -5)
2x + (4 * -3 + -1x * -3) = 3 + -1(x + -5)
2x + (-12 + 3x) = 3 + -1(x + -5)

Reorder the terms:
-12 + 2x + 3x = 3 + -1(x + -5)

Combine like terms: 2x + 3x = 5x
-12 + 5x = 3 + -1(x + -5)

Reorder the terms:
-12 + 5x = 3 + -1(-5 + x)
-12 + 5x = 3 + (-5 * -1 + x * -1)
-12 + 5x = 3 + (5 + -1x)

Combine like terms: 3 + 5 = 8
-12 + 5x = 8 + -1x

Solving
-12 + 5x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-12 + 5x + x = 8 + -1x + x

Combine like terms: 5x + x = 6x
-12 + 6x = 8 + -1x + x

Combine like terms: -1x + x = 0
-12 + 6x = 8 + 0
-12 + 6x = 8

Add '12' to each side of the equation.
-12 + 12 + 6x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 8 + 12
6x = 8 + 12

Combine like terms: 8 + 12 = 20
6x = 20

Divide each side by '6'.
x = 3.333333333

Simplifying
x = 3.333333333

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