5b+2a=bx+2a

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Solution for 5b+2a=bx+2a equation:


Simplifying
5b + 2a = bx + 2a

Reorder the terms:
2a + 5b = bx + 2a

Reorder the terms:
2a + 5b = 2a + bx

Add '-2a' to each side of the equation.
2a + -2a + 5b = 2a + -2a + bx

Combine like terms: 2a + -2a = 0
0 + 5b = 2a + -2a + bx
5b = 2a + -2a + bx

Combine like terms: 2a + -2a = 0
5b = 0 + bx
5b = bx

Solving
5b = bx

Solving for variable 'b'.

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

Add '-1bx' to each side of the equation.
5b + -1bx = bx + -1bx

Combine like terms: bx + -1bx = 0
5b + -1bx = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(5 + -1x) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

b = {0}

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