8(x+4)-2x=3(2v+1)-10

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Solution for 8(x+4)-2x=3(2v+1)-10 equation: 


Simplifying
8(x + 4) + -2x = 3(2v + 1) + -10

Reorder the terms:
8(4 + x) + -2x = 3(2v + 1) + -10
(4 * 8 + x * 8) + -2x = 3(2v + 1) + -10
(32 + 8x) + -2x = 3(2v + 1) + -10

Combine like terms: 8x + -2x = 6x
32 + 6x = 3(2v + 1) + -10

Reorder the terms:
32 + 6x = 3(1 + 2v) + -10
32 + 6x = (1 * 3 + 2v * 3) + -10
32 + 6x = (3 + 6v) + -10

Reorder the terms:
32 + 6x = 3 + -10 + 6v

Combine like terms: 3 + -10 = -7
32 + 6x = -7 + 6v

Solving
32 + 6x = -7 + 6v

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 6x = -7 + -32 + 6v

Combine like terms: 32 + -32 = 0
0 + 6x = -7 + -32 + 6v
6x = -7 + -32 + 6v

Combine like terms: -7 + -32 = -39
6x = -39 + 6v

Divide each side by '6'.
x = -6.5 + v

Simplifying
x = -6.5 + v

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