6(3-3x)=16-13(1-2x)

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Solution for 6(3-3x)=16-13(1-2x) equation:


Simplifying
6(3 + -3x) = 16 + -13(1 + -2x)
(3 * 6 + -3x * 6) = 16 + -13(1 + -2x)
(18 + -18x) = 16 + -13(1 + -2x)
18 + -18x = 16 + (1 * -13 + -2x * -13)
18 + -18x = 16 + (-13 + 26x)

Combine like terms: 16 + -13 = 3
18 + -18x = 3 + 26x

Solving
18 + -18x = 3 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
18 + -18x + -26x = 3 + 26x + -26x

Combine like terms: -18x + -26x = -44x
18 + -44x = 3 + 26x + -26x

Combine like terms: 26x + -26x = 0
18 + -44x = 3 + 0
18 + -44x = 3

Add '-18' to each side of the equation.
18 + -18 + -44x = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -44x = 3 + -18
-44x = 3 + -18

Combine like terms: 3 + -18 = -15
-44x = -15

Divide each side by '-44'.
x = 0.3409090909

Simplifying
x = 0.3409090909

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