3x+4=-2(x+3)-10

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Solution for 3x+4=-2(x+3)-10 equation:


Simplifying
3x + 4 = -2(x + 3) + -10

Reorder the terms:
4 + 3x = -2(x + 3) + -10

Reorder the terms:
4 + 3x = -2(3 + x) + -10
4 + 3x = (3 * -2 + x * -2) + -10
4 + 3x = (-6 + -2x) + -10

Reorder the terms:
4 + 3x = -6 + -10 + -2x

Combine like terms: -6 + -10 = -16
4 + 3x = -16 + -2x

Solving
4 + 3x = -16 + -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.
4 + 3x + 2x = -16 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = -16 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = -16 + 0
4 + 5x = -16

Add '-4' to each side of the equation.
4 + -4 + 5x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = -16 + -4
5x = -16 + -4

Combine like terms: -16 + -4 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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