4x-6=-2x+15

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Solution for 4x-6=-2x+15 equation:


Simplifying
4x + -6 = -2x + 15

Reorder the terms:
-6 + 4x = -2x + 15

Reorder the terms:
-6 + 4x = 15 + -2x

Solving
-6 + 4x = 15 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 4x + 2x = 15 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-6 + 6x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 6x = 15 + 0
-6 + 6x = 15

Add '6' to each side of the equation.
-6 + 6 + 6x = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 15 + 6
6x = 15 + 6

Combine like terms: 15 + 6 = 21
6x = 21

Divide each side by '6'.
x = 3.5

Simplifying
x = 3.5

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