3(2x-8)-10(22-x)=2

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Solution for 3(2x-8)-10(22-x)=2 equation:


Simplifying
3(2x + -8) + -10(22 + -1x) = 2

Reorder the terms:
3(-8 + 2x) + -10(22 + -1x) = 2
(-8 * 3 + 2x * 3) + -10(22 + -1x) = 2
(-24 + 6x) + -10(22 + -1x) = 2
-24 + 6x + (22 * -10 + -1x * -10) = 2
-24 + 6x + (-220 + 10x) = 2

Reorder the terms:
-24 + -220 + 6x + 10x = 2

Combine like terms: -24 + -220 = -244
-244 + 6x + 10x = 2

Combine like terms: 6x + 10x = 16x
-244 + 16x = 2

Solving
-244 + 16x = 2

Solving for variable 'x'.

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

Add '244' to each side of the equation.
-244 + 244 + 16x = 2 + 244

Combine like terms: -244 + 244 = 0
0 + 16x = 2 + 244
16x = 2 + 244

Combine like terms: 2 + 244 = 246
16x = 246

Divide each side by '16'.
x = 15.375

Simplifying
x = 15.375

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