1x+ax+bx+cx=14

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Solution for 1x+ax+bx+cx=14 equation:


Simplifying
1x + ax + bx + cx = 14

Reorder the terms:
ax + bx + cx + 1x = 14

Solving
ax + bx + cx + 1x = 14

Solving for variable 'a'.

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

Add '-1bx' to each side of the equation.
ax + bx + cx + -1bx + 1x = 14 + -1bx

Reorder the terms:
ax + bx + -1bx + cx + 1x = 14 + -1bx

Combine like terms: bx + -1bx = 0
ax + 0 + cx + 1x = 14 + -1bx
ax + cx + 1x = 14 + -1bx

Add '-1cx' to each side of the equation.
ax + cx + -1cx + 1x = 14 + -1bx + -1cx

Combine like terms: cx + -1cx = 0
ax + 0 + 1x = 14 + -1bx + -1cx
ax + 1x = 14 + -1bx + -1cx

Add '-1x' to each side of the equation.
ax + 1x + -1x = 14 + -1bx + -1cx + -1x

Combine like terms: 1x + -1x = 0
ax + 0 = 14 + -1bx + -1cx + -1x
ax = 14 + -1bx + -1cx + -1x

Divide each side by 'x'.
a = 14x-1 + -1b + -1c + -1

Simplifying
a = 14x-1 + -1b + -1c + -1

Reorder the terms:
a = -1 + -1b + -1c + 14x-1

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