85x+14=42x-24

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Solution for 85x+14=42x-24 equation:


Simplifying
85x + 14 = 42x + -24

Reorder the terms:
14 + 85x = 42x + -24

Reorder the terms:
14 + 85x = -24 + 42x

Solving
14 + 85x = -24 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
14 + 85x + -42x = -24 + 42x + -42x

Combine like terms: 85x + -42x = 43x
14 + 43x = -24 + 42x + -42x

Combine like terms: 42x + -42x = 0
14 + 43x = -24 + 0
14 + 43x = -24

Add '-14' to each side of the equation.
14 + -14 + 43x = -24 + -14

Combine like terms: 14 + -14 = 0
0 + 43x = -24 + -14
43x = -24 + -14

Combine like terms: -24 + -14 = -38
43x = -38

Divide each side by '43'.
x = -0.8837209302

Simplifying
x = -0.8837209302

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