2x-5+4x+9=6x-25+4x-2

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Solution for 2x-5+4x+9=6x-25+4x-2 equation:


Simplifying
2x + -5 + 4x + 9 = 6x + -25 + 4x + -2

Reorder the terms:
-5 + 9 + 2x + 4x = 6x + -25 + 4x + -2

Combine like terms: -5 + 9 = 4
4 + 2x + 4x = 6x + -25 + 4x + -2

Combine like terms: 2x + 4x = 6x
4 + 6x = 6x + -25 + 4x + -2

Reorder the terms:
4 + 6x = -25 + -2 + 6x + 4x

Combine like terms: -25 + -2 = -27
4 + 6x = -27 + 6x + 4x

Combine like terms: 6x + 4x = 10x
4 + 6x = -27 + 10x

Solving
4 + 6x = -27 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + 6x + -10x = -27 + 10x + -10x

Combine like terms: 6x + -10x = -4x
4 + -4x = -27 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -4x = -27 + 0
4 + -4x = -27

Add '-4' to each side of the equation.
4 + -4 + -4x = -27 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = -27 + -4
-4x = -27 + -4

Combine like terms: -27 + -4 = -31
-4x = -31

Divide each side by '-4'.
x = 7.75

Simplifying
x = 7.75

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