14*x+10*(x+3)=7*(x+2)

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Solution for 14*x+10*(x+3)=7*(x+2) equation: 


Simplifying
14x + 10(x + 3) = 7(x + 2)

Reorder the terms:
14x + 10(3 + x) = 7(x + 2)
14x + (3 * 10 + x * 10) = 7(x + 2)
14x + (30 + 10x) = 7(x + 2)

Reorder the terms:
30 + 14x + 10x = 7(x + 2)

Combine like terms: 14x + 10x = 24x
30 + 24x = 7(x + 2)

Reorder the terms:
30 + 24x = 7(2 + x)
30 + 24x = (2 * 7 + x * 7)
30 + 24x = (14 + 7x)

Solving
30 + 24x = 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.
30 + 24x + -7x = 14 + 7x + -7x

Combine like terms: 24x + -7x = 17x
30 + 17x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + 17x = 14 + 0
30 + 17x = 14

Add '-30' to each side of the equation.
30 + -30 + 17x = 14 + -30

Combine like terms: 30 + -30 = 0
0 + 17x = 14 + -30
17x = 14 + -30

Combine like terms: 14 + -30 = -16
17x = -16

Divide each side by '17'.
x = -0.9411764706

Simplifying
x = -0.9411764706

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