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

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


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

Combine like terms: 6 + -15 = -9
-9 + 15x = 2(3 + -1x) + -8x
-9 + 15x = (3 * 2 + -1x * 2) + -8x
-9 + 15x = (6 + -2x) + -8x

Combine like terms: -2x + -8x = -10x
-9 + 15x = 6 + -10x

Solving
-9 + 15x = 6 + -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.
-9 + 15x + 10x = 6 + -10x + 10x

Combine like terms: 15x + 10x = 25x
-9 + 25x = 6 + -10x + 10x

Combine like terms: -10x + 10x = 0
-9 + 25x = 6 + 0
-9 + 25x = 6

Add '9' to each side of the equation.
-9 + 9 + 25x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 25x = 6 + 9
25x = 6 + 9

Combine like terms: 6 + 9 = 15
25x = 15

Divide each side by '25'.
x = 0.6

Simplifying
x = 0.6

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