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

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


Simplifying
6 + 2(x + -5) = 3(-1x + 5)

Reorder the terms:
6 + 2(-5 + x) = 3(-1x + 5)
6 + (-5 * 2 + x * 2) = 3(-1x + 5)
6 + (-10 + 2x) = 3(-1x + 5)

Combine like terms: 6 + -10 = -4
-4 + 2x = 3(-1x + 5)

Reorder the terms:
-4 + 2x = 3(5 + -1x)
-4 + 2x = (5 * 3 + -1x * 3)
-4 + 2x = (15 + -3x)

Solving
-4 + 2x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-4 + 2x + 3x = 15 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-4 + 5x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 5x = 15 + 0
-4 + 5x = 15

Add '4' to each side of the equation.
-4 + 4 + 5x = 15 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 15 + 4
5x = 15 + 4

Combine like terms: 15 + 4 = 19
5x = 19

Divide each side by '5'.
x = 3.8

Simplifying
x = 3.8

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