2x-3(4-3x)=4(x-5)-34

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Solution for 2x-3(4-3x)=4(x-5)-34 equation: 


Simplifying
2x + -3(4 + -3x) = 4(x + -5) + -34
2x + (4 * -3 + -3x * -3) = 4(x + -5) + -34
2x + (-12 + 9x) = 4(x + -5) + -34

Reorder the terms:
-12 + 2x + 9x = 4(x + -5) + -34

Combine like terms: 2x + 9x = 11x
-12 + 11x = 4(x + -5) + -34

Reorder the terms:
-12 + 11x = 4(-5 + x) + -34
-12 + 11x = (-5 * 4 + x * 4) + -34
-12 + 11x = (-20 + 4x) + -34

Reorder the terms:
-12 + 11x = -20 + -34 + 4x

Combine like terms: -20 + -34 = -54
-12 + 11x = -54 + 4x

Solving
-12 + 11x = -54 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 11x + -4x = -54 + 4x + -4x

Combine like terms: 11x + -4x = 7x
-12 + 7x = -54 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 7x = -54 + 0
-12 + 7x = -54

Add '12' to each side of the equation.
-12 + 12 + 7x = -54 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = -54 + 12
7x = -54 + 12

Combine like terms: -54 + 12 = -42
7x = -42

Divide each side by '7'.
x = -6

Simplifying
x = -6

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