2x-6-(3x+4)=10-4x

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Solution for 2x-6-(3x+4)=10-4x equation: 


Simplifying
2x + -6 + -1(3x + 4) = 10 + -4x

Reorder the terms:
2x + -6 + -1(4 + 3x) = 10 + -4x
2x + -6 + (4 * -1 + 3x * -1) = 10 + -4x
2x + -6 + (-4 + -3x) = 10 + -4x

Reorder the terms:
-6 + -4 + 2x + -3x = 10 + -4x

Combine like terms: -6 + -4 = -10
-10 + 2x + -3x = 10 + -4x

Combine like terms: 2x + -3x = -1x
-10 + -1x = 10 + -4x

Solving
-10 + -1x = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-10 + -1x + 4x = 10 + -4x + 4x

Combine like terms: -1x + 4x = 3x
-10 + 3x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 3x = 10 + 0
-10 + 3x = 10

Add '10' to each side of the equation.
-10 + 10 + 3x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 10 + 10
3x = 10 + 10

Combine like terms: 10 + 10 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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