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

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


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

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

Reorder the terms:
4 + 2x = -3(4 + x) + 1
4 + 2x = (4 * -3 + x * -3) + 1
4 + 2x = (-12 + -3x) + 1

Reorder the terms:
4 + 2x = -12 + 1 + -3x

Combine like terms: -12 + 1 = -11
4 + 2x = -11 + -3x

Solving
4 + 2x = -11 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
4 + 2x + 3x = -11 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
4 + 5x = -11 + 0
4 + 5x = -11

Add '-4' to each side of the equation.
4 + -4 + 5x = -11 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = -11 + -4
5x = -11 + -4

Combine like terms: -11 + -4 = -15
5x = -15

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

Simplifying
x = -3

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