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

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


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

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

Combine like terms: 3x + x = 4x
-6 + 4x = 6x + -10

Reorder the terms:
-6 + 4x = -10 + 6x

Solving
-6 + 4x = -10 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
-6 + -2x = -10 + 0
-6 + -2x = -10

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

Combine like terms: -6 + 6 = 0
0 + -2x = -10 + 6
-2x = -10 + 6

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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