2(x-4)=9x+13

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Solution for 2(x-4)=9x+13 equation:


Simplifying
2(x + -4) = 9x + 13

Reorder the terms:
2(-4 + x) = 9x + 13
(-4 * 2 + x * 2) = 9x + 13
(-8 + 2x) = 9x + 13

Reorder the terms:
-8 + 2x = 13 + 9x

Solving
-8 + 2x = 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.
-8 + 2x + -9x = 13 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-8 + -7x = 13 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + -7x = 13 + 0
-8 + -7x = 13

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

Combine like terms: -8 + 8 = 0
0 + -7x = 13 + 8
-7x = 13 + 8

Combine like terms: 13 + 8 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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