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

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


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

Reorder the terms:
3(4 + 2x) + -1x = -1(7x + -3)
(4 * 3 + 2x * 3) + -1x = -1(7x + -3)
(12 + 6x) + -1x = -1(7x + -3)

Combine like terms: 6x + -1x = 5x
12 + 5x = -1(7x + -3)

Reorder the terms:
12 + 5x = -1(-3 + 7x)
12 + 5x = (-3 * -1 + 7x * -1)
12 + 5x = (3 + -7x)

Solving
12 + 5x = 3 + -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.
12 + 5x + 7x = 3 + -7x + 7x

Combine like terms: 5x + 7x = 12x
12 + 12x = 3 + -7x + 7x

Combine like terms: -7x + 7x = 0
12 + 12x = 3 + 0
12 + 12x = 3

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

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

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

Divide each side by '12'.
x = -0.75

Simplifying
x = -0.75

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