3x+7=-9x+49

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Solution for 3x+7=-9x+49 equation:


Simplifying
3x + 7 = -9x + 49

Reorder the terms:
7 + 3x = -9x + 49

Reorder the terms:
7 + 3x = 49 + -9x

Solving
7 + 3x = 49 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
7 + 3x + 9x = 49 + -9x + 9x

Combine like terms: 3x + 9x = 12x
7 + 12x = 49 + -9x + 9x

Combine like terms: -9x + 9x = 0
7 + 12x = 49 + 0
7 + 12x = 49

Add '-7' to each side of the equation.
7 + -7 + 12x = 49 + -7

Combine like terms: 7 + -7 = 0
0 + 12x = 49 + -7
12x = 49 + -7

Combine like terms: 49 + -7 = 42
12x = 42

Divide each side by '12'.
x = 3.5

Simplifying
x = 3.5

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