3x+10=5-7x

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Solution for 3x+10=5-7x equation:


Simplifying
3x + 10 = 5 + -7x

Reorder the terms:
10 + 3x = 5 + -7x

Solving
10 + 3x = 5 + -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 + 3x + 7x = 5 + -7x + 7x

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

Combine like terms: -7x + 7x = 0
10 + 10x = 5 + 0
10 + 10x = 5

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

Combine like terms: 10 + -10 = 0
0 + 10x = 5 + -10
10x = 5 + -10

Combine like terms: 5 + -10 = -5
10x = -5

Divide each side by '10'.
x = -0.5

Simplifying
x = -0.5

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