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

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


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

Combine like terms: 3 + -6 = -3
-3 + 4x = 4x + -3(x + 4) + -1

Reorder the terms:
-3 + 4x = 4x + -3(4 + x) + -1
-3 + 4x = 4x + (4 * -3 + x * -3) + -1
-3 + 4x = 4x + (-12 + -3x) + -1

Reorder the terms:
-3 + 4x = -12 + -1 + 4x + -3x

Combine like terms: -12 + -1 = -13
-3 + 4x = -13 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-3 + 4x = -13 + 1x

Solving
-3 + 4x = -13 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 4x + -1x = -13 + 1x + -1x

Combine like terms: 4x + -1x = 3x
-3 + 3x = -13 + 1x + -1x

Combine like terms: 1x + -1x = 0
-3 + 3x = -13 + 0
-3 + 3x = -13

Add '3' to each side of the equation.
-3 + 3 + 3x = -13 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = -13 + 3
3x = -13 + 3

Combine like terms: -13 + 3 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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