3x+5(4x+-6)-8=3x-14

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Solution for 3x+5(4x+-6)-8=3x-14 equation: 


Simplifying
3x + 5(4x + -6) + -8 = 3x + -14

Reorder the terms:
3x + 5(-6 + 4x) + -8 = 3x + -14
3x + (-6 * 5 + 4x * 5) + -8 = 3x + -14
3x + (-30 + 20x) + -8 = 3x + -14

Reorder the terms:
-30 + -8 + 3x + 20x = 3x + -14

Combine like terms: -30 + -8 = -38
-38 + 3x + 20x = 3x + -14

Combine like terms: 3x + 20x = 23x
-38 + 23x = 3x + -14

Reorder the terms:
-38 + 23x = -14 + 3x

Solving
-38 + 23x = -14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-38 + 23x + -3x = -14 + 3x + -3x

Combine like terms: 23x + -3x = 20x
-38 + 20x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-38 + 20x = -14 + 0
-38 + 20x = -14

Add '38' to each side of the equation.
-38 + 38 + 20x = -14 + 38

Combine like terms: -38 + 38 = 0
0 + 20x = -14 + 38
20x = -14 + 38

Combine like terms: -14 + 38 = 24
20x = 24

Divide each side by '20'.
x = 1.2

Simplifying
x = 1.2

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