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

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


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

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

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

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

Solving
-10 + 6x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 6x + -2x = 2 + 2x + -2x

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

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

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

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

Combine like terms: 2 + 10 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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