3(x+5)+4=1-2(x+6)

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Solution for 3(x+5)+4=1-2(x+6) equation:


Simplifying
3(x + 5) + 4 = 1 + -2(x + 6)

Reorder the terms:
3(5 + x) + 4 = 1 + -2(x + 6)
(5 * 3 + x * 3) + 4 = 1 + -2(x + 6)
(15 + 3x) + 4 = 1 + -2(x + 6)

Reorder the terms:
15 + 4 + 3x = 1 + -2(x + 6)

Combine like terms: 15 + 4 = 19
19 + 3x = 1 + -2(x + 6)

Reorder the terms:
19 + 3x = 1 + -2(6 + x)
19 + 3x = 1 + (6 * -2 + x * -2)
19 + 3x = 1 + (-12 + -2x)

Combine like terms: 1 + -12 = -11
19 + 3x = -11 + -2x

Solving
19 + 3x = -11 + -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.
19 + 3x + 2x = -11 + -2x + 2x

Combine like terms: 3x + 2x = 5x
19 + 5x = -11 + -2x + 2x

Combine like terms: -2x + 2x = 0
19 + 5x = -11 + 0
19 + 5x = -11

Add '-19' to each side of the equation.
19 + -19 + 5x = -11 + -19

Combine like terms: 19 + -19 = 0
0 + 5x = -11 + -19
5x = -11 + -19

Combine like terms: -11 + -19 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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