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

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


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

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

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

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

Combine like terms: -9 + 2 = -7
1 + 2x = -7 + 3x

Solving
1 + 2x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 2x + -3x = -7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
1 + -1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -1x = -7 + 0
1 + -1x = -7

Add '-1' to each side of the equation.
1 + -1 + -1x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -7 + -1
-1x = -7 + -1

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

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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