8(2x+1)=2(3x+4)+2(4x+3)

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


Simplifying
8(2x + 1) = 2(3x + 4) + 2(4x + 3)

Reorder the terms:
8(1 + 2x) = 2(3x + 4) + 2(4x + 3)
(1 * 8 + 2x * 8) = 2(3x + 4) + 2(4x + 3)
(8 + 16x) = 2(3x + 4) + 2(4x + 3)

Reorder the terms:
8 + 16x = 2(4 + 3x) + 2(4x + 3)
8 + 16x = (4 * 2 + 3x * 2) + 2(4x + 3)
8 + 16x = (8 + 6x) + 2(4x + 3)

Reorder the terms:
8 + 16x = 8 + 6x + 2(3 + 4x)
8 + 16x = 8 + 6x + (3 * 2 + 4x * 2)
8 + 16x = 8 + 6x + (6 + 8x)

Reorder the terms:
8 + 16x = 8 + 6 + 6x + 8x

Combine like terms: 8 + 6 = 14
8 + 16x = 14 + 6x + 8x

Combine like terms: 6x + 8x = 14x
8 + 16x = 14 + 14x

Solving
8 + 16x = 14 + 14x

Solving for variable 'x'.

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

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

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

Combine like terms: 14x + -14x = 0
8 + 2x = 14 + 0
8 + 2x = 14

Add '-8' to each side of the equation.
8 + -8 + 2x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 14 + -8
2x = 14 + -8

Combine like terms: 14 + -8 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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