2(3x+5)+ax=5(4x-b)

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Solution for 2(3x+5)+ax=5(4x-b) equation:


Simplifying
2(3x + 5) + ax = 5(4x + -1b)

Reorder the terms:
2(5 + 3x) + ax = 5(4x + -1b)
(5 * 2 + 3x * 2) + ax = 5(4x + -1b)
(10 + 6x) + ax = 5(4x + -1b)

Reorder the terms:
10 + ax + 6x = 5(4x + -1b)

Reorder the terms:
10 + ax + 6x = 5(-1b + 4x)
10 + ax + 6x = (-1b * 5 + 4x * 5)
10 + ax + 6x = (-5b + 20x)

Solving
10 + ax + 6x = -5b + 20x

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 = -5b + -10 + 20x

Reorder the terms:
10 + -10 + ax + 6x = -5b + -10 + 20x

Combine like terms: 10 + -10 = 0
0 + ax + 6x = -5b + -10 + 20x
ax + 6x = -5b + -10 + 20x

Reorder the terms:
ax + 6x = -10 + -5b + 20x

Add '-6x' to each side of the equation.
ax + 6x + -6x = -10 + -5b + 20x + -6x

Combine like terms: 6x + -6x = 0
ax + 0 = -10 + -5b + 20x + -6x
ax = -10 + -5b + 20x + -6x

Combine like terms: 20x + -6x = 14x
ax = -10 + -5b + 14x

Divide each side by 'x'.
a = -10x-1 + -5bx-1 + 14

Simplifying
a = -10x-1 + -5bx-1 + 14

Reorder the terms:
a = 14 + -5bx-1 + -10x-1

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