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

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


Simplifying
2(x + 6) = 7 + -1(2x + 3)

Reorder the terms:
2(6 + x) = 7 + -1(2x + 3)
(6 * 2 + x * 2) = 7 + -1(2x + 3)
(12 + 2x) = 7 + -1(2x + 3)

Reorder the terms:
12 + 2x = 7 + -1(3 + 2x)
12 + 2x = 7 + (3 * -1 + 2x * -1)
12 + 2x = 7 + (-3 + -2x)

Combine like terms: 7 + -3 = 4
12 + 2x = 4 + -2x

Solving
12 + 2x = 4 + -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.
12 + 2x + 2x = 4 + -2x + 2x

Combine like terms: 2x + 2x = 4x
12 + 4x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 4x = 4 + 0
12 + 4x = 4

Add '-12' to each side of the equation.
12 + -12 + 4x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 4 + -12
4x = 4 + -12

Combine like terms: 4 + -12 = -8
4x = -8

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

Simplifying
x = -2

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