5x-4-2x+7=3x-9+4x

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Solution for 5x-4-2x+7=3x-9+4x equation:


Simplifying
5x + -4 + -2x + 7 = 3x + -9 + 4x

Reorder the terms:
-4 + 7 + 5x + -2x = 3x + -9 + 4x

Combine like terms: -4 + 7 = 3
3 + 5x + -2x = 3x + -9 + 4x

Combine like terms: 5x + -2x = 3x
3 + 3x = 3x + -9 + 4x

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

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

Solving
3 + 3x = -9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 3x + -7x = -9 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
3 + -4x = -9 + 0
3 + -4x = -9

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

Combine like terms: 3 + -3 = 0
0 + -4x = -9 + -3
-4x = -9 + -3

Combine like terms: -9 + -3 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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