6x-10=3x+5+2(x-5)

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Solution for 6x-10=3x+5+2(x-5) equation:


Simplifying
6x + -10 = 3x + 5 + 2(x + -5)

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

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

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

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

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

Solving
-10 + 6x = -5 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
-10 + 1x = -5 + 0
-10 + 1x = -5

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

Combine like terms: -10 + 10 = 0
0 + 1x = -5 + 10
1x = -5 + 10

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

Divide each side by '1'.
x = 5

Simplifying
x = 5

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