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

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


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

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

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

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

Combine like terms: 7 + 9 = 16
-2 + -3x = 16 + 3x

Solving
-2 + -3x = 16 + 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.
-2 + -3x + -3x = 16 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-2 + -6x = 16 + 0
-2 + -6x = 16

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

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

Combine like terms: 16 + 2 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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