(6x+4)+(8x+6)=8(2x+1)

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Solution for (6x+4)+(8x+6)=8(2x+1) equation:


Simplifying
(6x + 4) + (8x + 6) = 8(2x + 1)

Reorder the terms:
(4 + 6x) + (8x + 6) = 8(2x + 1)

Remove parenthesis around (4 + 6x)
4 + 6x + (8x + 6) = 8(2x + 1)

Reorder the terms:
4 + 6x + (6 + 8x) = 8(2x + 1)

Remove parenthesis around (6 + 8x)
4 + 6x + 6 + 8x = 8(2x + 1)

Reorder the terms:
4 + 6 + 6x + 8x = 8(2x + 1)

Combine like terms: 4 + 6 = 10
10 + 6x + 8x = 8(2x + 1)

Combine like terms: 6x + 8x = 14x
10 + 14x = 8(2x + 1)

Reorder the terms:
10 + 14x = 8(1 + 2x)
10 + 14x = (1 * 8 + 2x * 8)
10 + 14x = (8 + 16x)

Solving
10 + 14x = 8 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
10 + 14x + -16x = 8 + 16x + -16x

Combine like terms: 14x + -16x = -2x
10 + -2x = 8 + 16x + -16x

Combine like terms: 16x + -16x = 0
10 + -2x = 8 + 0
10 + -2x = 8

Add '-10' to each side of the equation.
10 + -10 + -2x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 8 + -10
-2x = 8 + -10

Combine like terms: 8 + -10 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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