ax+5=bx+7

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Solution for ax+5=bx+7 equation:


Simplifying
ax + 5 = bx + 7

Reorder the terms:
5 + ax = bx + 7

Reorder the terms:
5 + ax = 7 + bx

Solving
5 + ax = 7 + bx

Solving for variable 'a'.

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

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

Combine like terms: 5 + -5 = 0
0 + ax = 7 + -5 + bx
ax = 7 + -5 + bx

Combine like terms: 7 + -5 = 2
ax = 2 + bx

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

Simplifying
a = 2x-1 + b

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

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