2(5x-9)=6x+16

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Solution for 2(5x-9)=6x+16 equation:


Simplifying
2(5x + -9) = 6x + 16

Reorder the terms:
2(-9 + 5x) = 6x + 16
(-9 * 2 + 5x * 2) = 6x + 16
(-18 + 10x) = 6x + 16

Reorder the terms:
-18 + 10x = 16 + 6x

Solving
-18 + 10x = 16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-18 + 10x + -6x = 16 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-18 + 4x = 16 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + 4x = 16 + 0
-18 + 4x = 16

Add '18' to each side of the equation.
-18 + 18 + 4x = 16 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = 16 + 18
4x = 16 + 18

Combine like terms: 16 + 18 = 34
4x = 34

Divide each side by '4'.
x = 8.5

Simplifying
x = 8.5

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