2(5-4)=ax+b

Solution for 2(5-4)=ax+b equation:

Simplifying
2(5 + -4) = ax + b

Combine like terms: 5 + -4 = 1
2(1) = ax + b

Multiply 2 * 1
2 = ax + b

Solving
2 = ax + b

Solving for variable 'a'.

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

Add '-1ax' to each side of the equation.
2 + -1ax = ax + -1ax + b

Combine like terms: ax + -1ax = 0
2 + -1ax = 0 + b
2 + -1ax = b

Add '-2' to each side of the equation.
2 + -2 + -1ax = -2 + b

Combine like terms: 2 + -2 = 0
0 + -1ax = -2 + b
-1ax = -2 + b

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

Simplifying
a = 2x-1 + -1bx-1

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