6(3x+4)=2(7x-3)+8

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Solution for 6(3x+4)=2(7x-3)+8 equation:


Simplifying
6(3x + 4) = 2(7x + -3) + 8

Reorder the terms:
6(4 + 3x) = 2(7x + -3) + 8
(4 * 6 + 3x * 6) = 2(7x + -3) + 8
(24 + 18x) = 2(7x + -3) + 8

Reorder the terms:
24 + 18x = 2(-3 + 7x) + 8
24 + 18x = (-3 * 2 + 7x * 2) + 8
24 + 18x = (-6 + 14x) + 8

Reorder the terms:
24 + 18x = -6 + 8 + 14x

Combine like terms: -6 + 8 = 2
24 + 18x = 2 + 14x

Solving
24 + 18x = 2 + 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.
24 + 18x + -14x = 2 + 14x + -14x

Combine like terms: 18x + -14x = 4x
24 + 4x = 2 + 14x + -14x

Combine like terms: 14x + -14x = 0
24 + 4x = 2 + 0
24 + 4x = 2

Add '-24' to each side of the equation.
24 + -24 + 4x = 2 + -24

Combine like terms: 24 + -24 = 0
0 + 4x = 2 + -24
4x = 2 + -24

Combine like terms: 2 + -24 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

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