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 = 196
196 + 6x + -10x = 2

Combine like terms: 6x + -10x = -4x
196 + -4x = 2

Solving
196 + -4x = 2

Solving for variable 'x'.

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

Add '-196' to each side of the equation.
196 + -196 + -4x = 2 + -196

Combine like terms: 196 + -196 = 0
0 + -4x = 2 + -196
-4x = 2 + -196

Combine like terms: 2 + -196 = -194
-4x = -194

Divide each side by '-4'.
x = 48.5

Simplifying
x = 48.5

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