3x+4=9-7x

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Solution for 3x+4=9-7x equation:


Simplifying
3x + 4 = 9 + -7x

Reorder the terms:
4 + 3x = 9 + -7x

Solving
4 + 3x = 9 + -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.
4 + 3x + 7x = 9 + -7x + 7x

Combine like terms: 3x + 7x = 10x
4 + 10x = 9 + -7x + 7x

Combine like terms: -7x + 7x = 0
4 + 10x = 9 + 0
4 + 10x = 9

Add '-4' to each side of the equation.
4 + -4 + 10x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = 9 + -4
10x = 9 + -4

Combine like terms: 9 + -4 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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