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

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


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

Reorder the terms:
3(-3 + x) + 7 = -2x + -6
(-3 * 3 + x * 3) + 7 = -2x + -6
(-9 + 3x) + 7 = -2x + -6

Reorder the terms:
-9 + 7 + 3x = -2x + -6

Combine like terms: -9 + 7 = -2
-2 + 3x = -2x + -6

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

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

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

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

Add '2' to each side of the equation.
-2 + 2 + 5x = -6 + 2

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

Combine like terms: -6 + 2 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8

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