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

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


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

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

Remove parenthesis around (4x)
2 * 4x + 3(-1x) + 7 = (-1x) + (-3)

Multiply 2 * 4
8x + 3(-1x) + 7 = (-1x) + (-3)

Remove parenthesis around (-1x)
8x + 3 * -1x + 7 = (-1x) + (-3)

Multiply 3 * -1
8x + -3x + 7 = (-1x) + (-3)

Reorder the terms:
7 + 8x + -3x = (-1x) + (-3)

Combine like terms: 8x + -3x = 5x
7 + 5x = (-1x) + (-3)
7 + 5x = (-1x) + -3

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

Solving
7 + 5x = -3 + (-1x)

Solving for variable 'x'.

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

Add '(x)' to each side of the equation.
7 + 5x + (x) = -3 + (-1x) + (x)
7 + 5x + x = -3 + (-1x) + (x)

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

Combine like terms: (-1x) + x = 0
7 + 6x = -3 + 0
7 + 6x = -3

Add '-7' to each side of the equation.
7 + -7 + 6x = -3 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = -3 + -7
6x = -3 + -7

Combine like terms: -3 + -7 = -10
6x = -10

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667

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