5(2x+1)=7x+14

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Solution for 5(2x+1)=7x+14 equation:


Simplifying
5(2x + 1) = 7x + 14

Reorder the terms:
5(1 + 2x) = 7x + 14
(1 * 5 + 2x * 5) = 7x + 14
(5 + 10x) = 7x + 14

Reorder the terms:
5 + 10x = 14 + 7x

Solving
5 + 10x = 14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + 10x + -7x = 14 + 7x + -7x

Combine like terms: 10x + -7x = 3x
5 + 3x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + 3x = 14 + 0
5 + 3x = 14

Add '-5' to each side of the equation.
5 + -5 + 3x = 14 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 14 + -5
3x = 14 + -5

Combine like terms: 14 + -5 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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