5x+10=14-7x

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Solution for 5x+10=14-7x equation:


Simplifying
5x + 10 = 14 + -7x

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

Solving
10 + 5x = 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.
10 + 5x + 7x = 14 + -7x + 7x

Combine like terms: 5x + 7x = 12x
10 + 12x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 12x = 14 + 0
10 + 12x = 14

Add '-10' to each side of the equation.
10 + -10 + 12x = 14 + -10

Combine like terms: 10 + -10 = 0
0 + 12x = 14 + -10
12x = 14 + -10

Combine like terms: 14 + -10 = 4
12x = 4

Divide each side by '12'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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