4x+9=86-3x

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Solution for 4x+9=86-3x equation:


Simplifying
4x + 9 = 86 + -3x

Reorder the terms:
9 + 4x = 86 + -3x

Solving
9 + 4x = 86 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
9 + 4x + 3x = 86 + -3x + 3x

Combine like terms: 4x + 3x = 7x
9 + 7x = 86 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 7x = 86 + 0
9 + 7x = 86

Add '-9' to each side of the equation.
9 + -9 + 7x = 86 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 86 + -9
7x = 86 + -9

Combine like terms: 86 + -9 = 77
7x = 77

Divide each side by '7'.
x = 11

Simplifying
x = 11

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