(6x+3)-(3x-4)=(x-4)-(x+1)

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Solution for (6x+3)-(3x-4)=(x-4)-(x+1) equation:


Simplifying
(6x + 3) + -1(3x + -4) = (x + -4) + -1(x + 1)

Reorder the terms:
(3 + 6x) + -1(3x + -4) = (x + -4) + -1(x + 1)

Remove parenthesis around (3 + 6x)
3 + 6x + -1(3x + -4) = (x + -4) + -1(x + 1)

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

Reorder the terms:
3 + 4 + 6x + -3x = (x + -4) + -1(x + 1)

Combine like terms: 3 + 4 = 7
7 + 6x + -3x = (x + -4) + -1(x + 1)

Combine like terms: 6x + -3x = 3x
7 + 3x = (x + -4) + -1(x + 1)

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

Remove parenthesis around (-4 + x)
7 + 3x = -4 + x + -1(x + 1)

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

Reorder the terms:
7 + 3x = -4 + -1 + x + -1x

Combine like terms: -4 + -1 = -5
7 + 3x = -5 + x + -1x

Combine like terms: x + -1x = 0
7 + 3x = -5 + 0
7 + 3x = -5

Solving
7 + 3x = -5

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 3x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = -5 + -7
3x = -5 + -7

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

Divide each side by '3'.
x = -4

Simplifying
x = -4

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