7x-7+ax-2=3x+b

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Solution for 7x-7+ax-2=3x+b equation:


Simplifying
7x + -7 + ax + -2 = 3x + b

Reorder the terms:
-7 + -2 + ax + 7x = 3x + b

Combine like terms: -7 + -2 = -9
-9 + ax + 7x = 3x + b

Reorder the terms:
-9 + ax + 7x = b + 3x

Solving
-9 + ax + 7x = b + 3x

Solving for variable 'a'.

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

Add '9' to each side of the equation.
-9 + ax + 9 + 7x = b + 9 + 3x

Reorder the terms:
-9 + 9 + ax + 7x = b + 9 + 3x

Combine like terms: -9 + 9 = 0
0 + ax + 7x = b + 9 + 3x
ax + 7x = b + 9 + 3x

Reorder the terms:
ax + 7x = 9 + b + 3x

Add '-7x' to each side of the equation.
ax + 7x + -7x = 9 + b + 3x + -7x

Combine like terms: 7x + -7x = 0
ax + 0 = 9 + b + 3x + -7x
ax = 9 + b + 3x + -7x

Combine like terms: 3x + -7x = -4x
ax = 9 + b + -4x

Divide each side by 'x'.
a = 9x-1 + bx-1 + -4

Simplifying
a = 9x-1 + bx-1 + -4

Reorder the terms:
a = -4 + bx-1 + 9x-1

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