3(3-2x)-(1+x)=10-13x

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Solution for 3(3-2x)-(1+x)=10-13x equation: 


Simplifying
3(3 + -2x) + -1(1 + x) = 10 + -13x
(3 * 3 + -2x * 3) + -1(1 + x) = 10 + -13x
(9 + -6x) + -1(1 + x) = 10 + -13x
9 + -6x + (1 * -1 + x * -1) = 10 + -13x
9 + -6x + (-1 + -1x) = 10 + -13x

Reorder the terms:
9 + -1 + -6x + -1x = 10 + -13x

Combine like terms: 9 + -1 = 8
8 + -6x + -1x = 10 + -13x

Combine like terms: -6x + -1x = -7x
8 + -7x = 10 + -13x

Solving
8 + -7x = 10 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
8 + -7x + 13x = 10 + -13x + 13x

Combine like terms: -7x + 13x = 6x
8 + 6x = 10 + -13x + 13x

Combine like terms: -13x + 13x = 0
8 + 6x = 10 + 0
8 + 6x = 10

Add '-8' to each side of the equation.
8 + -8 + 6x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = 10 + -8
6x = 10 + -8

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

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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