3(4x-5)=2x+8

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Solution for 3(4x-5)=2x+8 equation:


Simplifying
3(4x + -5) = 2x + 8

Reorder the terms:
3(-5 + 4x) = 2x + 8
(-5 * 3 + 4x * 3) = 2x + 8
(-15 + 12x) = 2x + 8

Reorder the terms:
-15 + 12x = 8 + 2x

Solving
-15 + 12x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 12x + -2x = 8 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-15 + 10x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 10x = 8 + 0
-15 + 10x = 8

Add '15' to each side of the equation.
-15 + 15 + 10x = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 10x = 8 + 15
10x = 8 + 15

Combine like terms: 8 + 15 = 23
10x = 23

Divide each side by '10'.
x = 2.3

Simplifying
x = 2.3

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