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

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


Simplifying
2(5 + -3x) = x + -4(3 + -1x)
(5 * 2 + -3x * 2) = x + -4(3 + -1x)
(10 + -6x) = x + -4(3 + -1x)
10 + -6x = x + (3 * -4 + -1x * -4)
10 + -6x = x + (-12 + 4x)

Reorder the terms:
10 + -6x = -12 + x + 4x

Combine like terms: x + 4x = 5x
10 + -6x = -12 + 5x

Solving
10 + -6x = -12 + 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.
10 + -6x + -5x = -12 + 5x + -5x

Combine like terms: -6x + -5x = -11x
10 + -11x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -11x = -12 + 0
10 + -11x = -12

Add '-10' to each side of the equation.
10 + -10 + -11x = -12 + -10

Combine like terms: 10 + -10 = 0
0 + -11x = -12 + -10
-11x = -12 + -10

Combine like terms: -12 + -10 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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