3(x-3)-4(2-3)=2(1-2x)

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Solution for 3(x-3)-4(2-3)=2(1-2x) equation: 


Simplifying
3(x + -3) + -4(2 + -3) = 2(1 + -2x)

Reorder the terms:
3(-3 + x) + -4(2 + -3) = 2(1 + -2x)
(-3 * 3 + x * 3) + -4(2 + -3) = 2(1 + -2x)
(-9 + 3x) + -4(2 + -3) = 2(1 + -2x)

Combine like terms: 2 + -3 = -1
-9 + 3x + -4(-1) = 2(1 + -2x)

Multiply -4 * -1
-9 + 3x + 4 = 2(1 + -2x)

Reorder the terms:
-9 + 4 + 3x = 2(1 + -2x)

Combine like terms: -9 + 4 = -5
-5 + 3x = 2(1 + -2x)
-5 + 3x = (1 * 2 + -2x * 2)
-5 + 3x = (2 + -4x)

Solving
-5 + 3x = 2 + -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.
-5 + 3x + 4x = 2 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-5 + 7x = 2 + -4x + 4x

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

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

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

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

Divide each side by '7'.
x = 1

Simplifying
x = 1

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