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

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


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

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

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

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

Combine like terms: -7 + -4 = -11
1 + -3x = -11 + -2x

Solving
1 + -3x = -11 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
1 + -3x + 2x = -11 + -2x + 2x

Combine like terms: -3x + 2x = -1x
1 + -1x = -11 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + -1x = -11 + 0
1 + -1x = -11

Add '-1' to each side of the equation.
1 + -1 + -1x = -11 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -11 + -1
-1x = -11 + -1

Combine like terms: -11 + -1 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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