2(x+6)-7=3-2(x+3)

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Solution for 2(x+6)-7=3-2(x+3) equation:


Simplifying
2(x + 6) + -7 = 3 + -2(x + 3)

Reorder the terms:
2(6 + x) + -7 = 3 + -2(x + 3)
(6 * 2 + x * 2) + -7 = 3 + -2(x + 3)
(12 + 2x) + -7 = 3 + -2(x + 3)

Reorder the terms:
12 + -7 + 2x = 3 + -2(x + 3)

Combine like terms: 12 + -7 = 5
5 + 2x = 3 + -2(x + 3)

Reorder the terms:
5 + 2x = 3 + -2(3 + x)
5 + 2x = 3 + (3 * -2 + x * -2)
5 + 2x = 3 + (-6 + -2x)

Combine like terms: 3 + -6 = -3
5 + 2x = -3 + -2x

Solving
5 + 2x = -3 + -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.
5 + 2x + 2x = -3 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
5 + 4x = -3 + 0
5 + 4x = -3

Add '-5' to each side of the equation.
5 + -5 + 4x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = -3 + -5
4x = -3 + -5

Combine like terms: -3 + -5 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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