8((x)+(x+2)+(x+4))=210+(10(x+2))

Solution for 8((x)+(x+2)+(x+4))=210+(10(x+2)) equation:

Simplifying
8((x) + (x + 2) + (x + 4)) = 210 + (10(x + 2))
8(x + (x + 2) + (x + 4)) = 210 + (10(x + 2))

Reorder the terms:
8(x + (2 + x) + (x + 4)) = 210 + (10(x + 2))

Remove parenthesis around (2 + x)
8(x + 2 + x + (x + 4)) = 210 + (10(x + 2))

Reorder the terms:
8(x + 2 + x + (4 + x)) = 210 + (10(x + 2))

Remove parenthesis around (4 + x)
8(x + 2 + x + 4 + x) = 210 + (10(x + 2))

Reorder the terms:
8(2 + 4 + x + x + x) = 210 + (10(x + 2))

Combine like terms: 2 + 4 = 6
8(6 + x + x + x) = 210 + (10(x + 2))

Combine like terms: x + x = 2x
8(6 + 2x + x) = 210 + (10(x + 2))

Combine like terms: 2x + x = 3x
8(6 + 3x) = 210 + (10(x + 2))
(6 * 8 + 3x * 8) = 210 + (10(x + 2))
(48 + 24x) = 210 + (10(x + 2))

Reorder the terms:
48 + 24x = 210 + (10(2 + x))
48 + 24x = 210 + ((2 * 10 + x * 10))
48 + 24x = 210 + ((20 + 10x))
48 + 24x = 210 + (20 + 10x)

Remove parenthesis around (20 + 10x)
48 + 24x = 210 + 20 + 10x

Combine like terms: 210 + 20 = 230
48 + 24x = 230 + 10x

Solving
48 + 24x = 230 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
48 + 24x + -10x = 230 + 10x + -10x

Combine like terms: 24x + -10x = 14x
48 + 14x = 230 + 10x + -10x

Combine like terms: 10x + -10x = 0
48 + 14x = 230 + 0
48 + 14x = 230

Add '-48' to each side of the equation.
48 + -48 + 14x = 230 + -48

Combine like terms: 48 + -48 = 0
0 + 14x = 230 + -48
14x = 230 + -48

Combine like terms: 230 + -48 = 182
14x = 182

Divide each side by '14'.
x = 13

Simplifying
x = 13