2(4x+8)=7x+6+14

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Solution for 2(4x+8)=7x+6+14 equation:


Simplifying
2(4x + 8) = 7x + 6 + 14

Reorder the terms:
2(8 + 4x) = 7x + 6 + 14
(8 * 2 + 4x * 2) = 7x + 6 + 14
(16 + 8x) = 7x + 6 + 14

Reorder the terms:
16 + 8x = 6 + 14 + 7x

Combine like terms: 6 + 14 = 20
16 + 8x = 20 + 7x

Solving
16 + 8x = 20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
16 + 8x + -7x = 20 + 7x + -7x

Combine like terms: 8x + -7x = 1x
16 + 1x = 20 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + 1x = 20 + 0
16 + 1x = 20

Add '-16' to each side of the equation.
16 + -16 + 1x = 20 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 20 + -16
1x = 20 + -16

Combine like terms: 20 + -16 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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