3(4x-5)=2(x+5)+14

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Solution for 3(4x-5)=2(x+5)+14 equation:


Simplifying
3(4x + -5) = 2(x + 5) + 14

Reorder the terms:
3(-5 + 4x) = 2(x + 5) + 14
(-5 * 3 + 4x * 3) = 2(x + 5) + 14
(-15 + 12x) = 2(x + 5) + 14

Reorder the terms:
-15 + 12x = 2(5 + x) + 14
-15 + 12x = (5 * 2 + x * 2) + 14
-15 + 12x = (10 + 2x) + 14

Reorder the terms:
-15 + 12x = 10 + 14 + 2x

Combine like terms: 10 + 14 = 24
-15 + 12x = 24 + 2x

Solving
-15 + 12x = 24 + 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 = 24 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-15 + 10x = 24 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 10x = 24 + 0
-15 + 10x = 24

Add '15' to each side of the equation.
-15 + 15 + 10x = 24 + 15

Combine like terms: -15 + 15 = 0
0 + 10x = 24 + 15
10x = 24 + 15

Combine like terms: 24 + 15 = 39
10x = 39

Divide each side by '10'.
x = 3.9

Simplifying
x = 3.9

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