2(x-5)+3x=x+6

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Solution for 2(x-5)+3x=x+6 equation: 


Simplifying
2(x + -5) + 3x = x + 6

Reorder the terms:
2(-5 + x) + 3x = x + 6
(-5 * 2 + x * 2) + 3x = x + 6
(-10 + 2x) + 3x = x + 6

Combine like terms: 2x + 3x = 5x
-10 + 5x = x + 6

Reorder the terms:
-10 + 5x = 6 + x

Solving
-10 + 5x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 5x + -1x = 6 + x + -1x

Combine like terms: 5x + -1x = 4x
-10 + 4x = 6 + x + -1x

Combine like terms: x + -1x = 0
-10 + 4x = 6 + 0
-10 + 4x = 6

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

Combine like terms: -10 + 10 = 0
0 + 4x = 6 + 10
4x = 6 + 10

Combine like terms: 6 + 10 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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