3x-8=x-(7x+3)

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Solution for 3x-8=x-(7x+3) equation:


Simplifying
3x + -8 = x + -1(7x + 3)

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

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

Reorder the terms:
-8 + 3x = -3 + x + -7x

Combine like terms: x + -7x = -6x
-8 + 3x = -3 + -6x

Solving
-8 + 3x = -3 + -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.
-8 + 3x + 6x = -3 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
-8 + 9x = -3 + 0
-8 + 9x = -3

Add '8' to each side of the equation.
-8 + 8 + 9x = -3 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = -3 + 8
9x = -3 + 8

Combine like terms: -3 + 8 = 5
9x = 5

Divide each side by '9'.
x = 0.5555555556

Simplifying
x = 0.5555555556

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