6x-3=2(x+5)

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


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

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

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

Solving
-3 + 6x = 10 + 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.
-3 + 6x + -2x = 10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-3 + 4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 4x = 10 + 0
-3 + 4x = 10

Add '3' to each side of the equation.
-3 + 3 + 4x = 10 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 10 + 3
4x = 10 + 3

Combine like terms: 10 + 3 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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