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

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


Simplifying
3(2 + -3x) + -4 = -1(4x + -5) + 2
(2 * 3 + -3x * 3) + -4 = -1(4x + -5) + 2
(6 + -9x) + -4 = -1(4x + -5) + 2

Reorder the terms:
6 + -4 + -9x = -1(4x + -5) + 2

Combine like terms: 6 + -4 = 2
2 + -9x = -1(4x + -5) + 2

Reorder the terms:
2 + -9x = -1(-5 + 4x) + 2
2 + -9x = (-5 * -1 + 4x * -1) + 2
2 + -9x = (5 + -4x) + 2

Reorder the terms:
2 + -9x = 5 + 2 + -4x

Combine like terms: 5 + 2 = 7
2 + -9x = 7 + -4x

Solving
2 + -9x = 7 + -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.
2 + -9x + 4x = 7 + -4x + 4x

Combine like terms: -9x + 4x = -5x
2 + -5x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + -5x = 7 + 0
2 + -5x = 7

Add '-2' to each side of the equation.
2 + -2 + -5x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 7 + -2
-5x = 7 + -2

Combine like terms: 7 + -2 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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