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

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


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

Reorder the terms:
3x + -4(-2 + 2x) = 3(3x + 4) + -5
3x + (-2 * -4 + 2x * -4) = 3(3x + 4) + -5
3x + (8 + -8x) = 3(3x + 4) + -5

Reorder the terms:
8 + 3x + -8x = 3(3x + 4) + -5

Combine like terms: 3x + -8x = -5x
8 + -5x = 3(3x + 4) + -5

Reorder the terms:
8 + -5x = 3(4 + 3x) + -5
8 + -5x = (4 * 3 + 3x * 3) + -5
8 + -5x = (12 + 9x) + -5

Reorder the terms:
8 + -5x = 12 + -5 + 9x

Combine like terms: 12 + -5 = 7
8 + -5x = 7 + 9x

Solving
8 + -5x = 7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
8 + -5x + -9x = 7 + 9x + -9x

Combine like terms: -5x + -9x = -14x
8 + -14x = 7 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -14x = 7 + 0
8 + -14x = 7

Add '-8' to each side of the equation.
8 + -8 + -14x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + -14x = 7 + -8
-14x = 7 + -8

Combine like terms: 7 + -8 = -1
-14x = -1

Divide each side by '-14'.
x = 0.07142857143

Simplifying
x = 0.07142857143

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