2x+9=75-10x

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Solution for 2x+9=75-10x equation:


Simplifying
2x + 9 = 75 + -10x

Reorder the terms:
9 + 2x = 75 + -10x

Solving
9 + 2x = 75 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
9 + 2x + 10x = 75 + -10x + 10x

Combine like terms: 2x + 10x = 12x
9 + 12x = 75 + -10x + 10x

Combine like terms: -10x + 10x = 0
9 + 12x = 75 + 0
9 + 12x = 75

Add '-9' to each side of the equation.
9 + -9 + 12x = 75 + -9

Combine like terms: 9 + -9 = 0
0 + 12x = 75 + -9
12x = 75 + -9

Combine like terms: 75 + -9 = 66
12x = 66

Divide each side by '12'.
x = 5.5

Simplifying
x = 5.5

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