5x+3(6x-8)=114

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Solution for 5x+3(6x-8)=114 equation:


Simplifying
5x + 3(6x + -8) = 114

Reorder the terms:
5x + 3(-8 + 6x) = 114
5x + (-8 * 3 + 6x * 3) = 114
5x + (-24 + 18x) = 114

Reorder the terms:
-24 + 5x + 18x = 114

Combine like terms: 5x + 18x = 23x
-24 + 23x = 114

Solving
-24 + 23x = 114

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 23x = 114 + 24

Combine like terms: -24 + 24 = 0
0 + 23x = 114 + 24
23x = 114 + 24

Combine like terms: 114 + 24 = 138
23x = 138

Divide each side by '23'.
x = 6

Simplifying
x = 6

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