3-(4x-7(x-2)+6)=2x+3(x-3)

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Solution for 3-(4x-7(x-2)+6)=2x+3(x-3) equation:


Simplifying
3 + -1(4x + -7(x + -2) + 6) = 2x + 3(x + -3)

Reorder the terms:
3 + -1(4x + -7(-2 + x) + 6) = 2x + 3(x + -3)
3 + -1(4x + (-2 * -7 + x * -7) + 6) = 2x + 3(x + -3)
3 + -1(4x + (14 + -7x) + 6) = 2x + 3(x + -3)

Reorder the terms:
3 + -1(14 + 6 + 4x + -7x) = 2x + 3(x + -3)

Combine like terms: 14 + 6 = 20
3 + -1(20 + 4x + -7x) = 2x + 3(x + -3)

Combine like terms: 4x + -7x = -3x
3 + -1(20 + -3x) = 2x + 3(x + -3)
3 + (20 * -1 + -3x * -1) = 2x + 3(x + -3)
3 + (-20 + 3x) = 2x + 3(x + -3)

Combine like terms: 3 + -20 = -17
-17 + 3x = 2x + 3(x + -3)

Reorder the terms:
-17 + 3x = 2x + 3(-3 + x)
-17 + 3x = 2x + (-3 * 3 + x * 3)
-17 + 3x = 2x + (-9 + 3x)

Reorder the terms:
-17 + 3x = -9 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-17 + 3x = -9 + 5x

Solving
-17 + 3x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-17 + 3x + -5x = -9 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-17 + -2x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-17 + -2x = -9 + 0
-17 + -2x = -9

Add '17' to each side of the equation.
-17 + 17 + -2x = -9 + 17

Combine like terms: -17 + 17 = 0
0 + -2x = -9 + 17
-2x = -9 + 17

Combine like terms: -9 + 17 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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