2-3(12-3x)=5(10-5x)+4x

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Solution for 2-3(12-3x)=5(10-5x)+4x equation: 


Simplifying
2 + -3(12 + -3x) = 5(10 + -5x) + 4x
2 + (12 * -3 + -3x * -3) = 5(10 + -5x) + 4x
2 + (-36 + 9x) = 5(10 + -5x) + 4x

Combine like terms: 2 + -36 = -34
-34 + 9x = 5(10 + -5x) + 4x
-34 + 9x = (10 * 5 + -5x * 5) + 4x
-34 + 9x = (50 + -25x) + 4x

Combine like terms: -25x + 4x = -21x
-34 + 9x = 50 + -21x

Solving
-34 + 9x = 50 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
-34 + 9x + 21x = 50 + -21x + 21x

Combine like terms: 9x + 21x = 30x
-34 + 30x = 50 + -21x + 21x

Combine like terms: -21x + 21x = 0
-34 + 30x = 50 + 0
-34 + 30x = 50

Add '34' to each side of the equation.
-34 + 34 + 30x = 50 + 34

Combine like terms: -34 + 34 = 0
0 + 30x = 50 + 34
30x = 50 + 34

Combine like terms: 50 + 34 = 84
30x = 84

Divide each side by '30'.
x = 2.8

Simplifying
x = 2.8

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