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

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


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

Combine like terms: 2 + -12 = -10
-10 + 3x = 5(2 + -1x)
-10 + 3x = (2 * 5 + -1x * 5)
-10 + 3x = (10 + -5x)

Solving
-10 + 3x = 10 + -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 + 3x + 5x = 10 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-10 + 8x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-10 + 8x = 10 + 0
-10 + 8x = 10

Add '10' to each side of the equation.
-10 + 10 + 8x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 10 + 10
8x = 10 + 10

Combine like terms: 10 + 10 = 20
8x = 20

Divide each side by '8'.
x = 2.5

Simplifying
x = 2.5

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