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

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Solution for 3x-7(x-1)=-3(2x+3) equation:


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

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

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

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

Reorder the terms:
7 + -4x = -3(3 + 2x)
7 + -4x = (3 * -3 + 2x * -3)
7 + -4x = (-9 + -6x)

Solving
7 + -4x = -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.
7 + -4x + 6x = -9 + -6x + 6x

Combine like terms: -4x + 6x = 2x
7 + 2x = -9 + -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 2x = -9 + 0
7 + 2x = -9

Add '-7' to each side of the equation.
7 + -7 + 2x = -9 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = -9 + -7
2x = -9 + -7

Combine like terms: -9 + -7 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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