5(2x+1)-4(x-2)=b(x+4)+16

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Solution for 5(2x+1)-4(x-2)=b(x+4)+16 equation:


Simplifying
5(2x + 1) + -4(x + -2) = b(x + 4) + 16

Reorder the terms:
5(1 + 2x) + -4(x + -2) = b(x + 4) + 16
(1 * 5 + 2x * 5) + -4(x + -2) = b(x + 4) + 16
(5 + 10x) + -4(x + -2) = b(x + 4) + 16

Reorder the terms:
5 + 10x + -4(-2 + x) = b(x + 4) + 16
5 + 10x + (-2 * -4 + x * -4) = b(x + 4) + 16
5 + 10x + (8 + -4x) = b(x + 4) + 16

Reorder the terms:
5 + 8 + 10x + -4x = b(x + 4) + 16

Combine like terms: 5 + 8 = 13
13 + 10x + -4x = b(x + 4) + 16

Combine like terms: 10x + -4x = 6x
13 + 6x = b(x + 4) + 16

Reorder the terms:
13 + 6x = b(4 + x) + 16
13 + 6x = (4 * b + x * b) + 16
13 + 6x = (4b + bx) + 16

Reorder the terms:
13 + 6x = 16 + 4b + bx

Solving
13 + 6x = 16 + 4b + bx

Solving for variable 'x'.

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

Add '-1bx' to each side of the equation.
13 + -1bx + 6x = 16 + 4b + bx + -1bx

Combine like terms: bx + -1bx = 0
13 + -1bx + 6x = 16 + 4b + 0
13 + -1bx + 6x = 16 + 4b

Add '-13' to each side of the equation.
13 + -1bx + -13 + 6x = 16 + -13 + 4b

Reorder the terms:
13 + -13 + -1bx + 6x = 16 + -13 + 4b

Combine like terms: 13 + -13 = 0
0 + -1bx + 6x = 16 + -13 + 4b
-1bx + 6x = 16 + -13 + 4b

Combine like terms: 16 + -13 = 3
-1bx + 6x = 3 + 4b

Reorder the terms:
-3 + -4b + -1bx + 6x = 3 + 4b + -3 + -4b

Reorder the terms:
-3 + -4b + -1bx + 6x = 3 + -3 + 4b + -4b

Combine like terms: 3 + -3 = 0
-3 + -4b + -1bx + 6x = 0 + 4b + -4b
-3 + -4b + -1bx + 6x = 4b + -4b

Combine like terms: 4b + -4b = 0
-3 + -4b + -1bx + 6x = 0

The solution to this equation could not be determined.

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