18-5(6-3x)=2(6-x)-8x

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Solution for 18-5(6-3x)=2(6-x)-8x equation:


Simplifying
18 + -5(6 + -3x) = 2(6 + -1x) + -8x
18 + (6 * -5 + -3x * -5) = 2(6 + -1x) + -8x
18 + (-30 + 15x) = 2(6 + -1x) + -8x

Combine like terms: 18 + -30 = -12
-12 + 15x = 2(6 + -1x) + -8x
-12 + 15x = (6 * 2 + -1x * 2) + -8x
-12 + 15x = (12 + -2x) + -8x

Combine like terms: -2x + -8x = -10x
-12 + 15x = 12 + -10x

Solving
-12 + 15x = 12 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-12 + 15x + 10x = 12 + -10x + 10x

Combine like terms: 15x + 10x = 25x
-12 + 25x = 12 + -10x + 10x

Combine like terms: -10x + 10x = 0
-12 + 25x = 12 + 0
-12 + 25x = 12

Add '12' to each side of the equation.
-12 + 12 + 25x = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 25x = 12 + 12
25x = 12 + 12

Combine like terms: 12 + 12 = 24
25x = 24

Divide each side by '25'.
x = 0.96

Simplifying
x = 0.96

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