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

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


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

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

Reorder the terms for easier multiplication:
10(-8 + 2x) + -1(22 + -1x) * 3 = 2
(-8 * 10 + 2x * 10) + -1(22 + -1x) * 3 = 2
(-80 + 20x) + -1(22 + -1x) * 3 = 2

Reorder the terms for easier multiplication:
-80 + 20x + -1 * 3(22 + -1x) = 2

Multiply -1 * 3
-80 + 20x + -3(22 + -1x) = 2
-80 + 20x + (22 * -3 + -1x * -3) = 2
-80 + 20x + (-66 + 3x) = 2

Reorder the terms:
-80 + -66 + 20x + 3x = 2

Combine like terms: -80 + -66 = -146
-146 + 20x + 3x = 2

Combine like terms: 20x + 3x = 23x
-146 + 23x = 2

Solving
-146 + 23x = 2

Solving for variable 'x'.

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

Add '146' to each side of the equation.
-146 + 146 + 23x = 2 + 146

Combine like terms: -146 + 146 = 0
0 + 23x = 2 + 146
23x = 2 + 146

Combine like terms: 2 + 146 = 148
23x = 148

Divide each side by '23'.
x = 6.434782609

Simplifying
x = 6.434782609

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