7(x-1)-8(3x-x)=2

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Solution for 7(x-1)-8(3x-x)=2 equation:


Simplifying
7(x + -1) + -8(3x + -1x) = 2

Reorder the terms:
7(-1 + x) + -8(3x + -1x) = 2
(-1 * 7 + x * 7) + -8(3x + -1x) = 2
(-7 + 7x) + -8(3x + -1x) = 2

Combine like terms: 3x + -1x = 2x
-7 + 7x + -8(2x) = 2

Remove parenthesis around (2x)
-7 + 7x + -8 * 2x = 2

Multiply -8 * 2
-7 + 7x + -16x = 2

Combine like terms: 7x + -16x = -9x
-7 + -9x = 2

Solving
-7 + -9x = 2

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + -9x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + -9x = 2 + 7
-9x = 2 + 7

Combine like terms: 2 + 7 = 9
-9x = 9

Divide each side by '-9'.
x = -1

Simplifying
x = -1

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