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

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Solution for 10-6(2x+1)=13-9x equation:


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

Reorder the terms:
10 + -6(1 + 2x) = 13 + -9x
10 + (1 * -6 + 2x * -6) = 13 + -9x
10 + (-6 + -12x) = 13 + -9x

Combine like terms: 10 + -6 = 4
4 + -12x = 13 + -9x

Solving
4 + -12x = 13 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
4 + -12x + 9x = 13 + -9x + 9x

Combine like terms: -12x + 9x = -3x
4 + -3x = 13 + -9x + 9x

Combine like terms: -9x + 9x = 0
4 + -3x = 13 + 0
4 + -3x = 13

Add '-4' to each side of the equation.
4 + -4 + -3x = 13 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 13 + -4
-3x = 13 + -4

Combine like terms: 13 + -4 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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