3x+10=-6x+37

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Solution for 3x+10=-6x+37 equation:


Simplifying
3x + 10 = -6x + 37

Reorder the terms:
10 + 3x = -6x + 37

Reorder the terms:
10 + 3x = 37 + -6x

Solving
10 + 3x = 37 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
10 + 3x + 6x = 37 + -6x + 6x

Combine like terms: 3x + 6x = 9x
10 + 9x = 37 + -6x + 6x

Combine like terms: -6x + 6x = 0
10 + 9x = 37 + 0
10 + 9x = 37

Add '-10' to each side of the equation.
10 + -10 + 9x = 37 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 37 + -10
9x = 37 + -10

Combine like terms: 37 + -10 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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