3x+2x+5=6x-4x+7

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Solution for 3x+2x+5=6x-4x+7 equation:


Simplifying
3x + 2x + 5 = 6x + -4x + 7

Reorder the terms:
5 + 3x + 2x = 6x + -4x + 7

Combine like terms: 3x + 2x = 5x
5 + 5x = 6x + -4x + 7

Reorder the terms:
5 + 5x = 7 + 6x + -4x

Combine like terms: 6x + -4x = 2x
5 + 5x = 7 + 2x

Solving
5 + 5x = 7 + 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.
5 + 5x + -2x = 7 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
5 + 3x = 7 + 0
5 + 3x = 7

Add '-5' to each side of the equation.
5 + -5 + 3x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 7 + -5
3x = 7 + -5

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

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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