10x+6(6-x)=2x-18

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Solution for 10x+6(6-x)=2x-18 equation:


Simplifying
10x + 6(6 + -1x) = 2x + -18
10x + (6 * 6 + -1x * 6) = 2x + -18
10x + (36 + -6x) = 2x + -18

Reorder the terms:
36 + 10x + -6x = 2x + -18

Combine like terms: 10x + -6x = 4x
36 + 4x = 2x + -18

Reorder the terms:
36 + 4x = -18 + 2x

Solving
36 + 4x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
36 + 4x + -2x = -18 + 2x + -2x

Combine like terms: 4x + -2x = 2x
36 + 2x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + 2x = -18 + 0
36 + 2x = -18

Add '-36' to each side of the equation.
36 + -36 + 2x = -18 + -36

Combine like terms: 36 + -36 = 0
0 + 2x = -18 + -36
2x = -18 + -36

Combine like terms: -18 + -36 = -54
2x = -54

Divide each side by '2'.
x = -27

Simplifying
x = -27

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