9x+(-3x+2)=2(3x-1)-(7x+2)

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Solution for 9x+(-3x+2)=2(3x-1)-(7x+2) equation:


Simplifying
9x + (-3x + 2) = 2(3x + -1) + -1(7x + 2)

Reorder the terms:
9x + (2 + -3x) = 2(3x + -1) + -1(7x + 2)

Remove parenthesis around (2 + -3x)
9x + 2 + -3x = 2(3x + -1) + -1(7x + 2)

Reorder the terms:
2 + 9x + -3x = 2(3x + -1) + -1(7x + 2)

Combine like terms: 9x + -3x = 6x
2 + 6x = 2(3x + -1) + -1(7x + 2)

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

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

Reorder the terms:
2 + 6x = -2 + -2 + 6x + -7x

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

Combine like terms: 6x + -7x = -1x
2 + 6x = -4 + -1x

Solving
2 + 6x = -4 + -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.
2 + 6x + x = -4 + -1x + x

Combine like terms: 6x + x = 7x
2 + 7x = -4 + -1x + x

Combine like terms: -1x + x = 0
2 + 7x = -4 + 0
2 + 7x = -4

Add '-2' to each side of the equation.
2 + -2 + 7x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = -4 + -2
7x = -4 + -2

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

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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