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

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


Simplifying
7 + -1(-3x + -2) = -2(x + -3)

Reorder the terms:
7 + -1(-2 + -3x) = -2(x + -3)
7 + (-2 * -1 + -3x * -1) = -2(x + -3)
7 + (2 + 3x) = -2(x + -3)

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

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

Solving
9 + 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.
9 + 3x + 2x = 6 + -2x + 2x

Combine like terms: 3x + 2x = 5x
9 + 5x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 5x = 6 + 0
9 + 5x = 6

Add '-9' to each side of the equation.
9 + -9 + 5x = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 6 + -9
5x = 6 + -9

Combine like terms: 6 + -9 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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