(a*x)-2(3x-5)=b

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Solution for (a*x)-2(3x-5)=b equation:


Simplifying
(a * x) + -2(3x + -5) = b

Multiply a * x
(ax) + -2(3x + -5) = b
ax + -2(3x + -5) = b

Reorder the terms:
ax + -2(-5 + 3x) = b
ax + (-5 * -2 + 3x * -2) = b
ax + (10 + -6x) = b

Reorder the terms:
10 + ax + -6x = b

Solving
10 + ax + -6x = b

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 + -10 + -6x = -10 + b

Reorder the terms:
10 + -10 + ax + -6x = -10 + b

Combine like terms: 10 + -10 = 0
0 + ax + -6x = -10 + b
ax + -6x = -10 + b

Add '6x' to each side of the equation.
ax + -6x + 6x = -10 + b + 6x

Combine like terms: -6x + 6x = 0
ax + 0 = -10 + b + 6x
ax = -10 + b + 6x

Divide each side by 'x'.
a = -10x-1 + bx-1 + 6

Simplifying
a = -10x-1 + bx-1 + 6

Reorder the terms:
a = 6 + bx-1 + -10x-1

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