6x-3=15-2(x-5)

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Solution for 6x-3=15-2(x-5) equation:


Simplifying
6x + -3 = 15 + -2(x + -5)

Reorder the terms:
-3 + 6x = 15 + -2(x + -5)

Reorder the terms:
-3 + 6x = 15 + -2(-5 + x)
-3 + 6x = 15 + (-5 * -2 + x * -2)
-3 + 6x = 15 + (10 + -2x)

Combine like terms: 15 + 10 = 25
-3 + 6x = 25 + -2x

Solving
-3 + 6x = 25 + -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 = 25 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-3 + 8x = 25 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 8x = 25 + 0
-3 + 8x = 25

Add '3' to each side of the equation.
-3 + 3 + 8x = 25 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 25 + 3
8x = 25 + 3

Combine like terms: 25 + 3 = 28
8x = 28

Divide each side by '8'.
x = 3.5

Simplifying
x = 3.5

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