7x+x=(-3x+6)-2(3x-4)

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Solution for 7x+x=(-3x+6)-2(3x-4) equation:


Simplifying
7x + x = (-3x + 6) + -2(3x + -4)

Combine like terms: 7x + x = 8x
8x = (-3x + 6) + -2(3x + -4)

Reorder the terms:
8x = (6 + -3x) + -2(3x + -4)

Remove parenthesis around (6 + -3x)
8x = 6 + -3x + -2(3x + -4)

Reorder the terms:
8x = 6 + -3x + -2(-4 + 3x)
8x = 6 + -3x + (-4 * -2 + 3x * -2)
8x = 6 + -3x + (8 + -6x)

Reorder the terms:
8x = 6 + 8 + -3x + -6x

Combine like terms: 6 + 8 = 14
8x = 14 + -3x + -6x

Combine like terms: -3x + -6x = -9x
8x = 14 + -9x

Solving
8x = 14 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
8x + 9x = 14 + -9x + 9x

Combine like terms: 8x + 9x = 17x
17x = 14 + -9x + 9x

Combine like terms: -9x + 9x = 0
17x = 14 + 0
17x = 14

Divide each side by '17'.
x = 0.8235294118

Simplifying
x = 0.8235294118

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