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

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


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

Reorder the terms:
3x + 3(-8 + 5x) = 14x + -14
3x + (-8 * 3 + 5x * 3) = 14x + -14
3x + (-24 + 15x) = 14x + -14

Reorder the terms:
-24 + 3x + 15x = 14x + -14

Combine like terms: 3x + 15x = 18x
-24 + 18x = 14x + -14

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

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

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

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

Add '24' to each side of the equation.
-24 + 24 + 4x = -14 + 24

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

Combine like terms: -14 + 24 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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