3(2x-1)-(x-5)=x+10

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Solution for 3(2x-1)-(x-5)=x+10 equation: 


Simplifying
3(2x + -1) + -1(x + -5) = x + 10

Reorder the terms:
3(-1 + 2x) + -1(x + -5) = x + 10
(-1 * 3 + 2x * 3) + -1(x + -5) = x + 10
(-3 + 6x) + -1(x + -5) = x + 10

Reorder the terms:
-3 + 6x + -1(-5 + x) = x + 10
-3 + 6x + (-5 * -1 + x * -1) = x + 10
-3 + 6x + (5 + -1x) = x + 10

Reorder the terms:
-3 + 5 + 6x + -1x = x + 10

Combine like terms: -3 + 5 = 2
2 + 6x + -1x = x + 10

Combine like terms: 6x + -1x = 5x
2 + 5x = x + 10

Reorder the terms:
2 + 5x = 10 + x

Solving
2 + 5x = 10 + 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.
2 + 5x + -1x = 10 + x + -1x

Combine like terms: 5x + -1x = 4x
2 + 4x = 10 + x + -1x

Combine like terms: x + -1x = 0
2 + 4x = 10 + 0
2 + 4x = 10

Add '-2' to each side of the equation.
2 + -2 + 4x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 10 + -2
4x = 10 + -2

Combine like terms: 10 + -2 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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