3(2x+6)=8x+7

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Solution for 3(2x+6)=8x+7 equation:


Simplifying
3(2x + 6) = 8x + 7

Reorder the terms:
3(6 + 2x) = 8x + 7
(6 * 3 + 2x * 3) = 8x + 7
(18 + 6x) = 8x + 7

Reorder the terms:
18 + 6x = 7 + 8x

Solving
18 + 6x = 7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
18 + 6x + -8x = 7 + 8x + -8x

Combine like terms: 6x + -8x = -2x
18 + -2x = 7 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -2x = 7 + 0
18 + -2x = 7

Add '-18' to each side of the equation.
18 + -18 + -2x = 7 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = 7 + -18
-2x = 7 + -18

Combine like terms: 7 + -18 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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