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

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


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

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

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

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

Solving
-2 + -2x = -14 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-2 + -2x + 7x = -14 + -7x + 7x

Combine like terms: -2x + 7x = 5x
-2 + 5x = -14 + -7x + 7x

Combine like terms: -7x + 7x = 0
-2 + 5x = -14 + 0
-2 + 5x = -14

Add '2' to each side of the equation.
-2 + 2 + 5x = -14 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = -14 + 2
5x = -14 + 2

Combine like terms: -14 + 2 = -12
5x = -12

Divide each side by '5'.
x = -2.4

Simplifying
x = -2.4

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