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

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


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

Reorder the terms:
3 + -1[4 + 2(3 + x)] = -1x + 7
3 + -1[4 + (3 * 2 + x * 2)] = -1x + 7
3 + -1[4 + (6 + 2x)] = -1x + 7

Combine like terms: 4 + 6 = 10
3 + -1[10 + 2x] = -1x + 7
3 + [10 * -1 + 2x * -1] = -1x + 7
3 + [-10 + -2x] = -1x + 7

Combine like terms: 3 + -10 = -7
-7 + -2x = -1x + 7

Reorder the terms:
-7 + -2x = 7 + -1x

Solving
-7 + -2x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-7 + -2x + x = 7 + -1x + x

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

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

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

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

Combine like terms: 7 + 7 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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