4x-6x+13=3x+28

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Solution for 4x-6x+13=3x+28 equation:


Simplifying
4x + -6x + 13 = 3x + 28

Reorder the terms:
13 + 4x + -6x = 3x + 28

Combine like terms: 4x + -6x = -2x
13 + -2x = 3x + 28

Reorder the terms:
13 + -2x = 28 + 3x

Solving
13 + -2x = 28 + 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.
13 + -2x + -3x = 28 + 3x + -3x

Combine like terms: -2x + -3x = -5x
13 + -5x = 28 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -5x = 28 + 0
13 + -5x = 28

Add '-13' to each side of the equation.
13 + -13 + -5x = 28 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = 28 + -13
-5x = 28 + -13

Combine like terms: 28 + -13 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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