6x-10=2(x+3)

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


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

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

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

Solving
-10 + 6x = 6 + 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 = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 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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