x-2(x+3)=-7

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

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

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

Reorder the terms:
-6 + x + -2x = -7

Combine like terms: x + -2x = -1x
-6 + -1x = -7

Solving
-6 + -1x = -7

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -1x = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -7 + 6
-1x = -7 + 6

Combine like terms: -7 + 6 = -1
-1x = -1

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

Simplifying
x = 1