ax+bx+cx+5x+-10=7x+2

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Solution for ax+bx+cx+5x+-10=7x+2 equation: 


Simplifying
ax + bx + cx + 5x + -10 = 7x + 2

Reorder the terms:
-10 + ax + bx + cx + 5x = 7x + 2

Reorder the terms:
-10 + ax + bx + cx + 5x = 2 + 7x

Solving
-10 + ax + bx + cx + 5x = 2 + 7x

Solving for variable 'a'.

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

Add '10' to each side of the equation.
-10 + ax + bx + cx + 10 + 5x = 2 + 10 + 7x

Reorder the terms:
-10 + 10 + ax + bx + cx + 5x = 2 + 10 + 7x

Combine like terms: -10 + 10 = 0
0 + ax + bx + cx + 5x = 2 + 10 + 7x
ax + bx + cx + 5x = 2 + 10 + 7x

Combine like terms: 2 + 10 = 12
ax + bx + cx + 5x = 12 + 7x

Add '-1bx' to each side of the equation.
ax + bx + cx + -1bx + 5x = 12 + -1bx + 7x

Reorder the terms:
ax + bx + -1bx + cx + 5x = 12 + -1bx + 7x

Combine like terms: bx + -1bx = 0
ax + 0 + cx + 5x = 12 + -1bx + 7x
ax + cx + 5x = 12 + -1bx + 7x

Add '-1cx' to each side of the equation.
ax + cx + -1cx + 5x = 12 + -1bx + -1cx + 7x

Combine like terms: cx + -1cx = 0
ax + 0 + 5x = 12 + -1bx + -1cx + 7x
ax + 5x = 12 + -1bx + -1cx + 7x

Add '-5x' to each side of the equation.
ax + 5x + -5x = 12 + -1bx + -1cx + 7x + -5x

Combine like terms: 5x + -5x = 0
ax + 0 = 12 + -1bx + -1cx + 7x + -5x
ax = 12 + -1bx + -1cx + 7x + -5x

Combine like terms: 7x + -5x = 2x
ax = 12 + -1bx + -1cx + 2x

Divide each side by 'x'.
a = 12x-1 + -1b + -1c + 2

Simplifying
a = 12x-1 + -1b + -1c + 2

Reorder the terms:
a = 2 + -1b + -1c + 12x-1

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