3(x+6)=7x-8

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


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

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

Reorder the terms:
18 + 3x = -8 + 7x

Solving
18 + 3x = -8 + 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.
18 + 3x + -7x = -8 + 7x + -7x

Combine like terms: 3x + -7x = -4x
18 + -4x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + -4x = -8 + 0
18 + -4x = -8

Add '-18' to each side of the equation.
18 + -18 + -4x = -8 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = -8 + -18
-4x = -8 + -18

Combine like terms: -8 + -18 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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