3(x+2)=1-2(x+4)

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Solution for 3(x+2)=1-2(x+4) equation:


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

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

Reorder the terms:
6 + 3x = 1 + -2(4 + x)
6 + 3x = 1 + (4 * -2 + x * -2)
6 + 3x = 1 + (-8 + -2x)

Combine like terms: 1 + -8 = -7
6 + 3x = -7 + -2x

Solving
6 + 3x = -7 + -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.
6 + 3x + 2x = -7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
6 + 5x = -7 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 5x = -7 + 0
6 + 5x = -7

Add '-6' to each side of the equation.
6 + -6 + 5x = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = -7 + -6
5x = -7 + -6

Combine like terms: -7 + -6 = -13
5x = -13

Divide each side by '5'.
x = -2.6

Simplifying
x = -2.6

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