3(4x-2)+5x=30-x

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Solution for 3(4x-2)+5x=30-x equation:


Simplifying
3(4x + -2) + 5x = 30 + -1x

Reorder the terms:
3(-2 + 4x) + 5x = 30 + -1x
(-2 * 3 + 4x * 3) + 5x = 30 + -1x
(-6 + 12x) + 5x = 30 + -1x

Combine like terms: 12x + 5x = 17x
-6 + 17x = 30 + -1x

Solving
-6 + 17x = 30 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 17x + x = 30 + -1x + x

Combine like terms: 17x + x = 18x
-6 + 18x = 30 + -1x + x

Combine like terms: -1x + x = 0
-6 + 18x = 30 + 0
-6 + 18x = 30

Add '6' to each side of the equation.
-6 + 6 + 18x = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 18x = 30 + 6
18x = 30 + 6

Combine like terms: 30 + 6 = 36
18x = 36

Divide each side by '18'.
x = 2

Simplifying
x = 2

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