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

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Solution for 3(3x-1)-(x-7)=8 equation:


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

Reorder the terms:
3(-1 + 3x) + -1(x + -7) = 8
(-1 * 3 + 3x * 3) + -1(x + -7) = 8
(-3 + 9x) + -1(x + -7) = 8

Reorder the terms:
-3 + 9x + -1(-7 + x) = 8
-3 + 9x + (-7 * -1 + x * -1) = 8
-3 + 9x + (7 + -1x) = 8

Reorder the terms:
-3 + 7 + 9x + -1x = 8

Combine like terms: -3 + 7 = 4
4 + 9x + -1x = 8

Combine like terms: 9x + -1x = 8x
4 + 8x = 8

Solving
4 + 8x = 8

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 8x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 8 + -4
8x = 8 + -4

Combine like terms: 8 + -4 = 4
8x = 4

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5

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