7x-4(x-3)=-(-2x-3)

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Solution for 7x-4(x-3)=-(-2x-3) equation:


Simplifying
7x + -4(x + -3) = -1(-2x + -3)

Reorder the terms:
7x + -4(-3 + x) = -1(-2x + -3)
7x + (-3 * -4 + x * -4) = -1(-2x + -3)
7x + (12 + -4x) = -1(-2x + -3)

Reorder the terms:
12 + 7x + -4x = -1(-2x + -3)

Combine like terms: 7x + -4x = 3x
12 + 3x = -1(-2x + -3)

Reorder the terms:
12 + 3x = -1(-3 + -2x)
12 + 3x = (-3 * -1 + -2x * -1)
12 + 3x = (3 + 2x)

Solving
12 + 3x = 3 + 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.
12 + 3x + -2x = 3 + 2x + -2x

Combine like terms: 3x + -2x = 1x
12 + 1x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 1x = 3 + 0
12 + 1x = 3

Add '-12' to each side of the equation.
12 + -12 + 1x = 3 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 3 + -12
1x = 3 + -12

Combine like terms: 3 + -12 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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