3x-2-(7x+14)=3x-(3+9x)+1

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Solution for 3x-2-(7x+14)=3x-(3+9x)+1 equation:


Simplifying
3x + -2 + -1(7x + 14) = 3x + -1(3 + 9x) + 1

Reorder the terms:
3x + -2 + -1(14 + 7x) = 3x + -1(3 + 9x) + 1
3x + -2 + (14 * -1 + 7x * -1) = 3x + -1(3 + 9x) + 1
3x + -2 + (-14 + -7x) = 3x + -1(3 + 9x) + 1

Reorder the terms:
-2 + -14 + 3x + -7x = 3x + -1(3 + 9x) + 1

Combine like terms: -2 + -14 = -16
-16 + 3x + -7x = 3x + -1(3 + 9x) + 1

Combine like terms: 3x + -7x = -4x
-16 + -4x = 3x + -1(3 + 9x) + 1
-16 + -4x = 3x + (3 * -1 + 9x * -1) + 1
-16 + -4x = 3x + (-3 + -9x) + 1

Reorder the terms:
-16 + -4x = -3 + 1 + 3x + -9x

Combine like terms: -3 + 1 = -2
-16 + -4x = -2 + 3x + -9x

Combine like terms: 3x + -9x = -6x
-16 + -4x = -2 + -6x

Solving
-16 + -4x = -2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-16 + -4x + 6x = -2 + -6x + 6x

Combine like terms: -4x + 6x = 2x
-16 + 2x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-16 + 2x = -2 + 0
-16 + 2x = -2

Add '16' to each side of the equation.
-16 + 16 + 2x = -2 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -2 + 16
2x = -2 + 16

Combine like terms: -2 + 16 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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