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

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


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

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

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

Combine like terms: 10x + -3x = 7x
18 + 7x = x + -30

Reorder the terms:
18 + 7x = -30 + x

Solving
18 + 7x = -30 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
18 + 7x + -1x = -30 + x + -1x

Combine like terms: 7x + -1x = 6x
18 + 6x = -30 + x + -1x

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

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

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

Combine like terms: -30 + -18 = -48
6x = -48

Divide each side by '6'.
x = -8

Simplifying
x = -8

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