14x-15(56-x)+62x-16x=2085

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Solution for 14x-15(56-x)+62x-16x=2085 equation:


Simplifying
14x + -15(56 + -1x) + 62x + -16x = 2085
14x + (56 * -15 + -1x * -15) + 62x + -16x = 2085
14x + (-840 + 15x) + 62x + -16x = 2085

Reorder the terms:
-840 + 14x + 15x + 62x + -16x = 2085

Combine like terms: 14x + 15x = 29x
-840 + 29x + 62x + -16x = 2085

Combine like terms: 29x + 62x = 91x
-840 + 91x + -16x = 2085

Combine like terms: 91x + -16x = 75x
-840 + 75x = 2085

Solving
-840 + 75x = 2085

Solving for variable 'x'.

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

Add '840' to each side of the equation.
-840 + 840 + 75x = 2085 + 840

Combine like terms: -840 + 840 = 0
0 + 75x = 2085 + 840
75x = 2085 + 840

Combine like terms: 2085 + 840 = 2925
75x = 2925

Divide each side by '75'.
x = 39

Simplifying
x = 39

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