2(4x-14)=5x+20

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Solution for 2(4x-14)=5x+20 equation:


Simplifying
2(4x + -14) = 5x + 20

Reorder the terms:
2(-14 + 4x) = 5x + 20
(-14 * 2 + 4x * 2) = 5x + 20
(-28 + 8x) = 5x + 20

Reorder the terms:
-28 + 8x = 20 + 5x

Solving
-28 + 8x = 20 + 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.
-28 + 8x + -5x = 20 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-28 + 3x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-28 + 3x = 20 + 0
-28 + 3x = 20

Add '28' to each side of the equation.
-28 + 28 + 3x = 20 + 28

Combine like terms: -28 + 28 = 0
0 + 3x = 20 + 28
3x = 20 + 28

Combine like terms: 20 + 28 = 48
3x = 48

Divide each side by '3'.
x = 16

Simplifying
x = 16

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