6x-3(x+5)=2(x-3)+8

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Solution for 6x-3(x+5)=2(x-3)+8 equation: 


Simplifying
6x + -3(x + 5) = 2(x + -3) + 8

Reorder the terms:
6x + -3(5 + x) = 2(x + -3) + 8
6x + (5 * -3 + x * -3) = 2(x + -3) + 8
6x + (-15 + -3x) = 2(x + -3) + 8

Reorder the terms:
-15 + 6x + -3x = 2(x + -3) + 8

Combine like terms: 6x + -3x = 3x
-15 + 3x = 2(x + -3) + 8

Reorder the terms:
-15 + 3x = 2(-3 + x) + 8
-15 + 3x = (-3 * 2 + x * 2) + 8
-15 + 3x = (-6 + 2x) + 8

Reorder the terms:
-15 + 3x = -6 + 8 + 2x

Combine like terms: -6 + 8 = 2
-15 + 3x = 2 + 2x

Solving
-15 + 3x = 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.
-15 + 3x + -2x = 2 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-15 + 1x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 1x = 2 + 0
-15 + 1x = 2

Add '15' to each side of the equation.
-15 + 15 + 1x = 2 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = 2 + 15
1x = 2 + 15

Combine like terms: 2 + 15 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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