10x+3(5x-2)=5x+14

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Solution for 10x+3(5x-2)=5x+14 equation:


Simplifying
10x + 3(5x + -2) = 5x + 14

Reorder the terms:
10x + 3(-2 + 5x) = 5x + 14
10x + (-2 * 3 + 5x * 3) = 5x + 14
10x + (-6 + 15x) = 5x + 14

Reorder the terms:
-6 + 10x + 15x = 5x + 14

Combine like terms: 10x + 15x = 25x
-6 + 25x = 5x + 14

Reorder the terms:
-6 + 25x = 14 + 5x

Solving
-6 + 25x = 14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 25x + -5x = 14 + 5x + -5x

Combine like terms: 25x + -5x = 20x
-6 + 20x = 14 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 20x = 14 + 0
-6 + 20x = 14

Add '6' to each side of the equation.
-6 + 6 + 20x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 20x = 14 + 6
20x = 14 + 6

Combine like terms: 14 + 6 = 20
20x = 20

Divide each side by '20'.
x = 1

Simplifying
x = 1

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