3(x-6)-(10-x)=30

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Solution for 3(x-6)-(10-x)=30 equation: 


Simplifying
3(x + -6) + -1(10 + -1x) = 30

Reorder the terms:
3(-6 + x) + -1(10 + -1x) = 30
(-6 * 3 + x * 3) + -1(10 + -1x) = 30
(-18 + 3x) + -1(10 + -1x) = 30
-18 + 3x + (10 * -1 + -1x * -1) = 30
-18 + 3x + (-10 + 1x) = 30

Reorder the terms:
-18 + -10 + 3x + 1x = 30

Combine like terms: -18 + -10 = -28
-28 + 3x + 1x = 30

Combine like terms: 3x + 1x = 4x
-28 + 4x = 30

Solving
-28 + 4x = 30

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 4x = 30 + 28

Combine like terms: -28 + 28 = 0
0 + 4x = 30 + 28
4x = 30 + 28

Combine like terms: 30 + 28 = 58
4x = 58

Divide each side by '4'.
x = 14.5

Simplifying
x = 14.5

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