2x+5(x-1)=6+4x

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Solution for 2x+5(x-1)=6+4x equation:


Simplifying
2x + 5(x + -1) = 6 + 4x

Reorder the terms:
2x + 5(-1 + x) = 6 + 4x
2x + (-1 * 5 + x * 5) = 6 + 4x
2x + (-5 + 5x) = 6 + 4x

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

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

Solving
-5 + 7x = 6 + 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.
-5 + 7x + -4x = 6 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-5 + 3x = 6 + 0
-5 + 3x = 6

Add '5' to each side of the equation.
-5 + 5 + 3x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 6 + 5
3x = 6 + 5

Combine like terms: 6 + 5 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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