5x+14=3(4x+6)

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Solution for 5x+14=3(4x+6) equation:


Simplifying
5x + 14 = 3(4x + 6)

Reorder the terms:
14 + 5x = 3(4x + 6)

Reorder the terms:
14 + 5x = 3(6 + 4x)
14 + 5x = (6 * 3 + 4x * 3)
14 + 5x = (18 + 12x)

Solving
14 + 5x = 18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
14 + 5x + -12x = 18 + 12x + -12x

Combine like terms: 5x + -12x = -7x
14 + -7x = 18 + 12x + -12x

Combine like terms: 12x + -12x = 0
14 + -7x = 18 + 0
14 + -7x = 18

Add '-14' to each side of the equation.
14 + -14 + -7x = 18 + -14

Combine like terms: 14 + -14 = 0
0 + -7x = 18 + -14
-7x = 18 + -14

Combine like terms: 18 + -14 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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