2(5x-14)=3x+6

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Solution for 2(5x-14)=3x+6 equation:


Simplifying
2(5x + -14) = 3x + 6

Reorder the terms:
2(-14 + 5x) = 3x + 6
(-14 * 2 + 5x * 2) = 3x + 6
(-28 + 10x) = 3x + 6

Reorder the terms:
-28 + 10x = 6 + 3x

Solving
-28 + 10x = 6 + 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.
-28 + 10x + -3x = 6 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-28 + 7x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 7x = 6 + 0
-28 + 7x = 6

Add '28' to each side of the equation.
-28 + 28 + 7x = 6 + 28

Combine like terms: -28 + 28 = 0
0 + 7x = 6 + 28
7x = 6 + 28

Combine like terms: 6 + 28 = 34
7x = 34

Divide each side by '7'.
x = 4.857142857

Simplifying
x = 4.857142857

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