6+2(5x+9)=9x-13

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Solution for 6+2(5x+9)=9x-13 equation:


Simplifying
6 + 2(5x + 9) = 9x + -13

Reorder the terms:
6 + 2(9 + 5x) = 9x + -13
6 + (9 * 2 + 5x * 2) = 9x + -13
6 + (18 + 10x) = 9x + -13

Combine like terms: 6 + 18 = 24
24 + 10x = 9x + -13

Reorder the terms:
24 + 10x = -13 + 9x

Solving
24 + 10x = -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.
24 + 10x + -9x = -13 + 9x + -9x

Combine like terms: 10x + -9x = 1x
24 + 1x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
24 + 1x = -13 + 0
24 + 1x = -13

Add '-24' to each side of the equation.
24 + -24 + 1x = -13 + -24

Combine like terms: 24 + -24 = 0
0 + 1x = -13 + -24
1x = -13 + -24

Combine like terms: -13 + -24 = -37
1x = -37

Divide each side by '1'.
x = -37

Simplifying
x = -37

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