4x+6=9x-10

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Solution for 4x+6=9x-10 equation:


Simplifying
4x + 6 = 9x + -10

Reorder the terms:
6 + 4x = 9x + -10

Reorder the terms:
6 + 4x = -10 + 9x

Solving
6 + 4x = -10 + 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.
6 + 4x + -9x = -10 + 9x + -9x

Combine like terms: 4x + -9x = -5x
6 + -5x = -10 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -5x = -10 + 0
6 + -5x = -10

Add '-6' to each side of the equation.
6 + -6 + -5x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -10 + -6
-5x = -10 + -6

Combine like terms: -10 + -6 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2

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