2(x+7)-3=4-(3+x)-5

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Solution for 2(x+7)-3=4-(3+x)-5 equation:


Simplifying
2(x + 7) + -3 = 4 + -1(3 + x) + -5

Reorder the terms:
2(7 + x) + -3 = 4 + -1(3 + x) + -5
(7 * 2 + x * 2) + -3 = 4 + -1(3 + x) + -5
(14 + 2x) + -3 = 4 + -1(3 + x) + -5

Reorder the terms:
14 + -3 + 2x = 4 + -1(3 + x) + -5

Combine like terms: 14 + -3 = 11
11 + 2x = 4 + -1(3 + x) + -5
11 + 2x = 4 + (3 * -1 + x * -1) + -5
11 + 2x = 4 + (-3 + -1x) + -5

Reorder the terms:
11 + 2x = 4 + -3 + -5 + -1x

Combine like terms: 4 + -3 = 1
11 + 2x = 1 + -5 + -1x

Combine like terms: 1 + -5 = -4
11 + 2x = -4 + -1x

Solving
11 + 2x = -4 + -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.
11 + 2x + x = -4 + -1x + x

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

Combine like terms: -1x + x = 0
11 + 3x = -4 + 0
11 + 3x = -4

Add '-11' to each side of the equation.
11 + -11 + 3x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = -4 + -11
3x = -4 + -11

Combine like terms: -4 + -11 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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