ax+45=5(x-b)

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Solution for ax+45=5(x-b) equation:


Simplifying
ax + 45 = 5(x + -1b)

Reorder the terms:
45 + ax = 5(x + -1b)

Reorder the terms:
45 + ax = 5(-1b + x)
45 + ax = (-1b * 5 + x * 5)
45 + ax = (-5b + 5x)

Solving
45 + ax = -5b + 5x

Solving for variable 'a'.

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

Add '-45' to each side of the equation.
45 + -45 + ax = -5b + -45 + 5x

Combine like terms: 45 + -45 = 0
0 + ax = -5b + -45 + 5x
ax = -5b + -45 + 5x

Reorder the terms:
ax = -45 + -5b + 5x

Divide each side by 'x'.
a = -45x-1 + -5bx-1 + 5

Simplifying
a = -45x-1 + -5bx-1 + 5

Reorder the terms:
a = 5 + -5bx-1 + -45x-1

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