2(x+7)=4*5+14(x-5)

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Solution for 2(x+7)=4*5+14(x-5) equation: 


Simplifying
2(x + 7) = 4 * 5 + 14(x + -5)

Reorder the terms:
2(7 + x) = 4 * 5 + 14(x + -5)
(7 * 2 + x * 2) = 4 * 5 + 14(x + -5)
(14 + 2x) = 4 * 5 + 14(x + -5)

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

Reorder the terms:
14 + 2x = 20 + 14(-5 + x)
14 + 2x = 20 + (-5 * 14 + x * 14)
14 + 2x = 20 + (-70 + 14x)

Combine like terms: 20 + -70 = -50
14 + 2x = -50 + 14x

Solving
14 + 2x = -50 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
14 + 2x + -14x = -50 + 14x + -14x

Combine like terms: 2x + -14x = -12x
14 + -12x = -50 + 14x + -14x

Combine like terms: 14x + -14x = 0
14 + -12x = -50 + 0
14 + -12x = -50

Add '-14' to each side of the equation.
14 + -14 + -12x = -50 + -14

Combine like terms: 14 + -14 = 0
0 + -12x = -50 + -14
-12x = -50 + -14

Combine like terms: -50 + -14 = -64
-12x = -64

Divide each side by '-12'.
x = 5.333333333

Simplifying
x = 5.333333333

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