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

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


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

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

Reorder the terms:
6 + -9x = -7(3 + x) + -2
6 + -9x = (3 * -7 + x * -7) + -2
6 + -9x = (-21 + -7x) + -2

Reorder the terms:
6 + -9x = -21 + -2 + -7x

Combine like terms: -21 + -2 = -23
6 + -9x = -23 + -7x

Solving
6 + -9x = -23 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + -9x + 7x = -23 + -7x + 7x

Combine like terms: -9x + 7x = -2x
6 + -2x = -23 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + -2x = -23 + 0
6 + -2x = -23

Add '-6' to each side of the equation.
6 + -6 + -2x = -23 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -23 + -6
-2x = -23 + -6

Combine like terms: -23 + -6 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5

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