8(x-3)-(2x-2)=50

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Solution for 8(x-3)-(2x-2)=50 equation:


Simplifying
8(x + -3) + -1(2x + -2) = 50

Reorder the terms:
8(-3 + x) + -1(2x + -2) = 50
(-3 * 8 + x * 8) + -1(2x + -2) = 50
(-24 + 8x) + -1(2x + -2) = 50

Reorder the terms:
-24 + 8x + -1(-2 + 2x) = 50
-24 + 8x + (-2 * -1 + 2x * -1) = 50
-24 + 8x + (2 + -2x) = 50

Reorder the terms:
-24 + 2 + 8x + -2x = 50

Combine like terms: -24 + 2 = -22
-22 + 8x + -2x = 50

Combine like terms: 8x + -2x = 6x
-22 + 6x = 50

Solving
-22 + 6x = 50

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 6x = 50 + 22

Combine like terms: -22 + 22 = 0
0 + 6x = 50 + 22
6x = 50 + 22

Combine like terms: 50 + 22 = 72
6x = 72

Divide each side by '6'.
x = 12

Simplifying
x = 12

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