109x+3=40x-10

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Solution for 109x+3=40x-10 equation:


Simplifying
109x + 3 = 40x + -10

Reorder the terms:
3 + 109x = 40x + -10

Reorder the terms:
3 + 109x = -10 + 40x

Solving
3 + 109x = -10 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
3 + 109x + -40x = -10 + 40x + -40x

Combine like terms: 109x + -40x = 69x
3 + 69x = -10 + 40x + -40x

Combine like terms: 40x + -40x = 0
3 + 69x = -10 + 0
3 + 69x = -10

Add '-3' to each side of the equation.
3 + -3 + 69x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + 69x = -10 + -3
69x = -10 + -3

Combine like terms: -10 + -3 = -13
69x = -13

Divide each side by '69'.
x = -0.1884057971

Simplifying
x = -0.1884057971

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