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

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


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

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

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

Combine like terms: 7x + -1x = 6x
3 + 6x = -3(2x + 3)

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

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

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
3 + 6x + 6x = -9 + -6x + 6x

Combine like terms: 6x + 6x = 12x
3 + 12x = -9 + -6x + 6x

Combine like terms: -6x + 6x = 0
3 + 12x = -9 + 0
3 + 12x = -9

Add '-3' to each side of the equation.
3 + -3 + 12x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + 12x = -9 + -3
12x = -9 + -3

Combine like terms: -9 + -3 = -12
12x = -12

Divide each side by '12'.
x = -1

Simplifying
x = -1

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